x squared 32x 180 0 how to calculate

Solution: x -32x+180=0

x-16)²=76

x-16 =±2√19

Analysis] This problem uses the matching method to solve the one-dimensional quadratic equation. The so-called matching method is to use the method of identity deformation of an analytic expression to match some of its terms into the sum form of one or several polynomials to the power of positive integers. The method of solving a mathematical problem through a recipe is called the matching method.

Among them, the most used is the perfect flat method. The matching method is an important method of identity deformation in mathematics, and it is widely used in factorization, simplifying radicals, solving equations, proving equations and inequalities, finding extreme values and analytic formulas of functions, etc.

Example] Solve the equation: 2x +6x+6=4

Solution: 2x +6x+6=4

x+x+x=

It is obtained using the root finding formula.

x=[32+ (32 2 -4*180)] 2 or x=[32- (32 2 -4*180)] 2

And (32 2 -4*180) = (32 2 -4*180) = 304=4 19

So the solution. x = 16 + 2 19 or 16 -2 19

29x+270+x Luzhou=0

x²+29x+270=0

Unaccompanied and relieved.

x square hole -23x+150=0, x -23x+150=0, the judgment line formula is less than 0, so the grinding equation is not solved in the range of real numbers.

1. First of all, the square of x-30x-2200=0 is exchanged for a column of the Kai family: x2-30x=225.

2. Secondly, add 225 to both sides at the same time to get: x2-30x+225=225+225.

3. Then the next backup Sun Chunbu (x-15) 2=450.

4. The imitation resistance finally obtains x-15 = 15 2, x = 15-15 2, x = 15 + 15 2.

x^2-20x+100-100-320=0x-10)^2=420

x-10 = 420 under the positive and negative destruction tremor root numbers

x=10+-420 under the root number

The original formula can be reduced to (x-20) 2=125

x = 20 + 5 root number 5 or 20-5 root number 5

If you can't do it with the cross method, let's use the formula. Do as you like.

b 2-4ac = get the file blue.

x=[-b+(b 2-4ac) ,x=[-b-(b 2-4ac) oak 2a,

The solution to the problem is as follows:x²-348x+2880=0This problem can be solved by the formula burial method (where a=1, b=-348, c=2880):

Formula method

According to the above figure, x1 = 348+ (348 -4 1 2880) 2 = 174 + 6 bent stupid 761

x2=［348-√（348²-4×1×2880）］÷2=174-6√761

Summary. First, we can directly reverse the position, and we can get the square of x minus 31x+210=10 0. Then use a+b=-31, a b=210. Then we can infer that a is equal to.

First, we can directly reverse the position of a Chang Meng, and we can get the square of x minus 31x+210=10 0. Then use a+b=-31, a b=210. Then we can infer that a is equal to.

I want to calculate the process.

Then we can get the answer (x-21) (x-10)=0.So x1 = 2 = 10

The value of an unknown number that equalizes the nucleus on the left and right sides of the equation is called the solution of the equation. The process of finding the solution of an equation is called solving an equation. The equation must contain the equation of the unknown number of the car mode to be called the square closed judgment delay. An equation doesn't have to be an equation, an equation has to be an equation.

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