Solve the following equations using factorization the process should be detailed .

Updated on educate 2024-05-14
7 answers
  1. Anonymous users2024-02-10

    1) Left = x (2x + 5) = 0, x = 0 or 2x + 5 = 0, x = -5 22) Left - Right = y 2 + 2y + 1 = (y + 1) 2 = 0, y = -13) right = (2 + x) (2-x), x = 2 is a solution, or both sides are reduced, -x = 2 + x, x = -1

    4) Left = (x-1) (3x-2) = 0, x = 1, or x = 6 35) Left - right with square difference = (7x+3) (-3x-7), x = -7 3 or -3 7

    6) ( 2x-1) (x+1) = 0, x = -1 or x = 2 27) left - right = (x-3) (x + 3-1 2 (x-3)) = (x-3) (1 2x + 9 2) = 0, x = 3 or x = -9

  2. Anonymous users2024-02-09

    1) x(2x+5)=0 x=0 or x=-5 22)(y+1) 2=0 y=-1

    3) x 2-x-2=0 (x-2)(x+1)=0 x=2 or x=-14)3x 2-5x+2=0 (3x-2)(x-1)=0 x=2 3 or x=1

    5) (3x+7) (7x+3) = 0 x=-7 3 or x=-3 76) (x-1) (x+1) = 0 x=1 or x=-17) (x-3) (x+9) = 0 x=3 or x=-9

  3. Anonymous users2024-02-08

    Quite speechless about your question.

  4. Anonymous users2024-02-07

    Untie; ① 2x+3)^2=(5x-4)^2

    2x+3+5x-4)(2x+3-5x+4)=0 x1=1/5 x2=7/3

    x-2) 2-2 (2-x) = 0

    x-2 (x-2+2) = 0 x1 = 2 x2 = 2-2

    4y^2+8y+4=0

    4(y-1)^2=0 y1=y2=1

    x-5)(x+3)+x(x+6)=-17

    2x^2+4x+2=0 (x+1)^2=0 x1=x2=-1

    3-x) ^2 =9-x ^2

    3-x) 2-(3-x) (3+x)=0

    3-x)(3-x-3-x)=0 x1=3 x2=0

    t-3)(t+4)=-12 t^2+t=0 t(t+2)=0 t1=0 t2=-2

    x+5)(x+3)+x(x+6)=-17 2x 2+14x+32=0 x 2+7x+16=0 There is no solution to the square leakage.

    x^2-2ax+a^2-b^2=0 [x-(a+b)][x-(a-b)]=0

    x1=a+b x2=a-b

  5. Anonymous users2024-02-06

    (1)5x²+4x=0

    x(5x+4)=0

    x=0 or 5x+4=0

    x1=0, x2=-4/5

    2)√2y²=3y

    3y-√2y²=0

    y(3-√2y)=0

    y=0 or 3-2y=0

    y1=0, y2=(3/2)√2

    3)x²+7x+12=0

    x+3)(x+4)=0

    x+3=0 or x+4=0

    x1=-3, x2=-4

    4)x²-10x+16=0

    x-2)(x-8)=0

    x-2=0 or x-8=0

    x1=2, x2=8

    5)x²+3x-10=0

    x+5)(x-2)=0

    x+5=0 or x-2=0

    x1=-5, x2=2

    6)x²-6x-40=0

    x-10)(x+4)=0

    x-10=0 or x+4=0

    x1=10, x2=-4

    7)t(t+3)=28

    t²+3y-28=0

    t+7)(t-4)=0

    t+7=0 or t-4=0

    t1=-7, t2=4

    8)(x+1)(x+3)=15

    x²+4x+3=15

    x²+4x-12=0

    x+6)(x-2)=0

    x+6=0 or x-2=0

    x1=-6, x2=2

  6. Anonymous users2024-02-05

    (1)(2x-1)²=8x

    4x²-4x+1+8x=0

    4x²+4x+1=0

    2x+1)²=0

    x1=x2=-1/2

    2)(x-2)²=2x(x-2)

    x-2)²-2x(x-2)=0

    x-2)(x-2-2x)=0

    x-2)(-x-2)=0

    x-2)(x+2)=0

    x1=2,x2=-2

    3) x -2 root number 3 x = -3

    x -2 root number 3 x + 3 = 0

    x-root number 3) 0

    x1 = x2 = root number 3

  7. Anonymous users2024-02-04

    1、(x-1)²-2(x-1)=0

    x-1)(x-1-2)=0

    x-1)(x-3)=0

    x=1 or x=3

    x²-4=0

    3x+2)(3x-2)=0

    x=-2 3 or x=2 3

    3、(3x-1)²-4=0

    3x-1+2)(3x-1-2)=0

    3x+1)(3x-3)=0

    x=-1 3 or x=1

    x(x-3)=(x-3)(x+1)

    5x-x-1)(x-3)=0

    4x-1)(x-3)=0

    x=1 4 or x=3

    5、x²-4x-12=0

    x-6)(x+2)=0

    x=-2 or x=6

    6、x²-12x+35=0

    x-5)(x-7)=0

    x=5 or x=7

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