there is 3 problems that i need to help solve.
1) x^3 = 4x^2 + 77x
2) x^2 - 13x = -30
3) 7x^2 -5x = 14x - 10
1) x^3 = 4x^2 + 77x
2) x^2 - 13x = -30
3) 7x^2 -5x = 14x - 10
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1) x³ = 4x² + 77x.
Collect everything on one side:
x³ - 4x² - 77x = 0.
Factor out x:
x(x² - 4x - 77) = 0.
Factor the quadratic term:
x(x+7)(x-11) = 0.
Therefore x = 0 or x = -7 or x = 11.
2) x² - 13x = -30.
Collect terms:
x² - 13x + 30 = 0.
Factor:
(x-3)(x-10) = 0.
Therefore x = 3 or x = 10.
3) 7x² - 5x = 14x - 10.
Collect terms:
7x² - 19x + 10 = 0.
Factor:
(7x-5)(x-2) = 0.
Therefore x = 5/7 or x = 2.
Collect everything on one side:
x³ - 4x² - 77x = 0.
Factor out x:
x(x² - 4x - 77) = 0.
Factor the quadratic term:
x(x+7)(x-11) = 0.
Therefore x = 0 or x = -7 or x = 11.
2) x² - 13x = -30.
Collect terms:
x² - 13x + 30 = 0.
Factor:
(x-3)(x-10) = 0.
Therefore x = 3 or x = 10.
3) 7x² - 5x = 14x - 10.
Collect terms:
7x² - 19x + 10 = 0.
Factor:
(7x-5)(x-2) = 0.
Therefore x = 5/7 or x = 2.
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1) factor out x giving x(x^2-4x-77) = 0
x (x-11)(x+7) = 0
x =0, -7, 11
follow my example
x (x-11)(x+7) = 0
x =0, -7, 11
follow my example