Question:

Anyone know how to factor these??

by  |  earlier

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1.12x^2+11x-15=0

2.12y^2-8y-15=0

3.20-36x+9x^2

4.9y^2-31y=20

anyone??

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  1. mel here it is

    1.12x^2+11x-15=0

    12x² + 11x - 15 = 0

    Quadratic

    a=12  b=11  c=(-15)

    x = [-b ±√b²  -4ac]/2a

    x = [-11 ±√121  -4(12)(-15)]/2(12)

    x = [-11 ±√121  -4(12)(-15)]/2(12)

    x = [-11 ±√841]/24

    x = [-11 ± 29]/24

    x+ = [-11 + 29]/24

    x+ = 0.75

    x- = [-11 - 29]/24

    x- = [-11 - 29]/24

    x- = -1.67

    =================================

    Ans:: x = 0.75  &  -1.67

    =================================

    2.12y^2-8y-15=0

    => 12y² - 8y - 15 = 0

    Quadratic

    a=12  b=(-8)  c=(-15)

    y = [-b ±√b²  -4ac]/2a

    y = [8 ±√64  -4(12)(-15)]/2(12)

    y = [8 ±√784)]/24

    y = [8 ± 28]/24

    y+ = [8 + 28]/24

    y+ = 1.5

    y- = [8 - 28]/24

    y- = -0.833

    ============================

    Ans:: y = 1.5  &  -0.833

    ============================

    3.20-36x+9x^2

    9x² - 36x + 20 = 0

    (3x - 10)(3x - 2) = 0

    3x - 10 = 0

    3x = 10

    x = 10/3

    3x - 2 = 0

    3x = 2

    x = 2/3

    ==============================

    ans ::: x = 10/3  &  2/3

    ==============================

    4.9y^2-31y=20

    9y² - 31y - 20 = 0

    Quadratic

    a=9  b=(-31)  c=(-20)

    y = [-b ±√b²  -4ac]/2a

    y = [31 ±√961  -4(9)(-20)]/2a

    y = [31 ±√1681]/2(9)

    y = [31 ±√1681]/18

    y+ = [31 + 41]/18

    y+ = 4

    y- = [31 - 41]/18

    y- = -0.56

    ===============================

    Ans:: y = 4  &  -0.56

    ===============================

    hope this helps

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