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What are the Solutions of the Equation 4x2 + 3x = 24 – x?
We will be simplifying the equation to solve it.
Answer: The solutions of the equation 4x2 + 3x = 24 – x are -3, and 2.
Let's solve this step by step to find the zeros of 4x2 + 3x = 24 – x.
Explanation:
Given that, 4x2 + 3x = 24 – x.
Simplify the equation first,
⇒ 4x2 + 4x - 24 = 0
Divide by 4 on both sides,
⇒x2 + x - 6 = 0
We have to find the roots of the equation.
Let, f(x) = x2 + x - 6
= x2 + 3x - 2x - 6
= x2 - 2x + 3x - 6
= x(x - 2) + 3(x - 2)
= (x - 2)(x + 3)
(x + 3) = 0 and (x - 2) = 0
x = -3 and x = 2
You can verify your answer using Cuemath's roots calculator.
Thus, the solutions of the equation 4x2 + 3x = 24 – x are -3, 2.
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