Question

Try It Which are solutions of the equation 4x² - 7x= 3x + 24? Check all that apply.

Answer 1

We get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.

We are given an equation:

4 x² - 7 x = 3 x + 24

We need to solve it for x.

4 x² - 7 x - 3 x = 24

4 x ² - 10 x = 24

4 x ² - 10 x - 24 = 0

4 x² - 16 x + 6 x - 24 = 0

4 x( x - 4) + 6( x - 4) = 0

(x - 4)(4 x + 6) = 0

Solving for x, we get that:

x = 4 or x = 6 / 4 = 3 / 2.

Therefore, we get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.

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