Solving Equations Three Questions How to Solve Three Equations?

Updated on educate 2024-05-21
7 answers
  1. Anonymous users2024-02-11

    1. The equation is 2x+y=54, (2x)*y=144, so 2x, y are the two real roots of the equation x 2-54x+144=0, and the root formula can be obtained x1=27-3 65, x2=27+3 65, so x=(27-3 65) 2, y=27+3 65 or x=(27+3 65) 2, y=27-3 65.

    2. The equation is 5x+3y=54, (5x)*(3y)=1080, so 5x, 3y are the two roots of the equation x 2-54x+1080=0, and since the discriminant formula < 0, there is no real root.

    3. The equation is 5x+2y=54 , (5x)*(2y)=720, so 5x, 2y are the two real roots of the equation x 2-54x+720=0, which are decomposed to (x-30)(x-24)=0, so x=30 or x=24, then x=30 5=6 , y=24 2=12 or x=24 5 , y=30 2=15.

  2. Anonymous users2024-02-10

    Summary. First, simplify and subtract the second and third quadratic equations.

    Good. That's it.

    Dear, it's a bit urgent, can you wait a while?

    Okay, please hurry.

    Good good. Pro, the elimination method solves the equation.

    First, simplify and subtract the second and third quadratic equations.

    Binary linear equations can be derived.

    Then connect the two binary equations.

    Solutions a, b

  3. Anonymous users2024-02-09

    OK. Will (u+v)(u-v).

    Get u -v

    I remove the UV.

    Get u v-v u

    Let u v=t then t-1 t=240 288 solve the equation.

    After the solution, u=tv is the relationship between UVs.

  4. Anonymous users2024-02-08

    Let the student get the equation by taking the required time from home to school t minutes.

    80×(t+3)=110×(t-3)

    80t+240=110t-330

    240+330=110t-80t

    570=30t

    t=19 So, he can only get from home to school in 19 minutes, according to which the distance between home and school is:

    1760 meters.

    A: This student's home is 1,760 meters away from the school.

  5. Anonymous users2024-02-07

    The first one is divided by sixteen by two-thirds.

    For the second one, take three-eighths minus one-quarter, and divide this by two-thirds.

    The third one takes three-tenths plus one-half, and divides that number by one-fifth.

  6. Anonymous users2024-02-06

    7.(x+3) 4+(x+1) 4 82,4 to the power of merging similar terms. After factoring, we get x(x+4)(x +4x+14)=0

    The solution is x -4,0.

    9.Let x t, t>0, then x t. There are too many root numbers, which is inconvenient to play by hand, and the attached figure is as follows, and the solution is t 4, x 16.

    11.The equation makes sense as x (-1,3].

    To square the left and right sides of the original formula, get:

    3-x²)²1+x)=(1+x²)²3-x)(9-6x²+x^4)(1+x)=(1+2x²+x^4)(3-x)9+9x-6x²-6x³+x^4+x^5=3-x+6x²-2x³+3x^4-x^5

    x 5-x 4-2x -6x +5x+3 0, short division factoring (x-1)(x -2x-1)(x +2x+3) 0 to get x 1 or 1 2.

  7. Anonymous users2024-02-05

    Intermediate questions: shifting, merging, dividing. x=

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