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Anonymous users2024-02-15Unary quadratic equations.
There are four solutions, they are the direct leveling method and the matching method.
Formula method and factorization method.
The unary quadratic equation can be formed into a general form ax2+bx+c=0(a≠0). where ax2 is called the quadratic term, and a is the coefficient of the quadratic term; bx is called the primary term, and b is the state or primary term coefficient; c is called a constant term.
An integral equation that contains only one unknown (unary) and the highest order of the unknown term is 2 (quadratic) is called a quadratic equation. There are four types of solutions, which are the direct leveling method, the matching method, the formula method and the factorization method. The unary quadratic equation can be formed into a general form ax2+bx+c=0(a≠0).
where ax2 is called the quadratic term, and a is the coefficient of the quadratic term; bx is called the primary term, and b is the coefficient of the primary term; c is called a number of items that are often briefly examined.
1. Direct leveling method.
Example: Solving an equation.
3x+1)2=7;
3x+1)2=7;
3x+1)2=7;
3x+1 = 7 (be careful not to discard the unsolution symbol);
x=(-1±√7)/3。
2. Matching method.
Example: Solve the equation x2+4x-8=0:
Move the constant term to the right of the equation x2+4x=8;
Recipe: (x+2)2=12;
Direct squared: x+2= 12;
x=-2±√12。
3. Formula method.
Example: Use the formula method to solve the equation 2x2-8x=-5;
Equation in general form: 2x2-8x+5=0;
a=2，b=-8，c=5;
b2-4ac=(-8)2-4×2×5=64-40=24>0;
x=[(b±√(b2-4ac)]/2a)。
4. Factorization.
Example: Factoring the equation y2+7y+6=0;
The equation can be deformed as (y+1)(y+6)=0;
y+1=0 or y+6=0;
y1=-1，y2=-6。
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Anonymous users2024-02-14There are four ways to solve a quadratic equation. They are the direct leveling method, the matching method, the formula method and the factorization method. The unary quadratic equation can be formed into a general form ax +bx+c=0(a≠0).
where ax is called the quadratic term, and a is the quadratic coefficient; bx is called the primary term, and b is the coefficient of the primary term; c is called a constant term.
An integral equation that contains only one unknown (unary) and the highest order of the unknown term is 2 (the absolute order of the two towns) is called a quadratic equation. There are four solutions, they are the direct opening method, the matching method, the formula method and the factorization method. The unary quadratic equation can be formed into a general form ax +bx+c=0(a≠0).
where ax is called the quadratic term, and a is the quadratic coefficient; bx is called the primary term, and b is the coefficient of the primary term; c is called a constant term.
Direct leveling method. Example: Solve equation (3x+1)2=7;Chain Brigade (3x+1)2=7;（3x+1）2=7；3x+1 = 7 (be careful not to discard the unsolution symbol); x=﹙﹣1±√7﹚/3。
x²+4x+4=8+4；Recipe: (x+2)2=12; Direct squared: x+2= 12; x=-2±√12。
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Anonymous users2024-02-131.Factorization method: a method of dismantling a quadratic equation into the form of ax 2+bx+c=0 to obtain two unary linear equations, and then solve them.
2.Formula method: A method to solve the unary quadratic excitation equation by finding the formula x=(b (b 2-4ac)) 2a for rapid combustion.
3.Image method: A method of obtaining the solution of an equation by making an image of ax 2+bx+c=0 and observing the intersection points on the image.
4.Direct leveling method: For equations of the shape x 2 = a 2, it can be solved directly by squares.
5.Matching method: The left side of the one-dimensional quadratic equation is matched into a completely flat Chunchang sock, and the right side is turned into a constant, so as to solve the method.
6.Direct use of formula method: According to the relationship between roots, the method of using the formulas introduced by predecessors to replace the roots.
You can choose the right solution for your specific situation.
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Anonymous users2024-02-121. The general form ax 2 + bx + c = 0 (a is not equal to 0), where ax 2 is the quadratic term and a is the quadratic term coefficient; bx is a one-time term; b is the coefficient of the primary term; c is a constant term.
The value of the unknowns that make the left and right sides of the equation equal is the solution of this unary quadratic equation, and the solution of the unary quadratic equation is also called the root of the unary quadratic equation.
2. Variant ax 2 + bx = 0 (a, b are real numbers, a is not equal to 0), ax 2 + c = 0 (a, c are real numbers, a is not equal to 0).
3. Matching method.
4. Two-root type.
Divide by 3 to get x 2+2x-4 3=0
Recipe x 2+2x+1-1-4 3=0 x+1) 2-7 3=0 Then move the root to get two. >>>More
An equation that contains only one unknown, and the order of the highest order term containing unknowns is one, is called a univariate equation. >>>More
Solution: In the form of an +bn + c, it can be matched into a(n+b 2a) +4ac-b ) 4a, and the square term in front can determine n, such as a<0, a(n+b 2a) has a maximum value of 0, (if and only if n=-b 2a, etc.), so that the n value can be determined, and then the whole can be determined.
private sub command1_click()dim a, b, c, x1, x2, d as singlea = val( >>>More
By the first equation, there is:
x1+x2=-p...1) >>>More