Solve it plz
(x-5) (40-x) =124
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Answer:
x = 9, 36.
Step-by-step explanation:
Given a quadratic equation (x-5) (40-x) = 124.
To find the roots of the given quadratic equation.
So,
=> (x-5) (40-x) = 124
=> 40x - x² - 200 + 5x = 124
=> -x² + 45x - 200 = 124
=> x² - 45x - 324 = 0
=> x² - 36x - 9x + 324 = 0
=> x(x-36) -9(x-36) = 0
=> (x-9) (x-36) = 0
=> x = 9 , 36.
Therefore the roots of the given quadratic equation is 9, 36.
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