Question

What are the solutions of the equation 4x^2-7x=3x+24

1.x= -4
2.x= -3
3.x= -3/2
4.x=2/3
5.x=2
6.x=4​

Answer 1

The answer is x=4 and -1.5

Answer 2

Answer: 6) x₁ = 4 and 3) x₂ = -3/2

Explanation:

First we rearrange the terms:

4x²-7x = 3x + 24

4x²-7x -3x -24 = 0

4x²-11x -24 = 0

This is a quadratic equation having the form ax² + bx + c = 0

We can solve it by applying the formula:

`x=\frac{-b+-\sqrt{b^(2)-4*a*c}}{2a} \\x=\frac{10+-\sqrt{10^(2)+4*4*24}}{2*4} \\x=(10+-√(100+384))/(8) \\x=(10+-√(484))/(8) \\x=(10+-22)/(8) \\x1=(10+22)/(8) \\x2=(10-22)/(8) \\`

x₁ = (10+22)/8 = 32/8 = 4

x₂ = (10-22)/8 = -12/8 = -3/2

Answer: 6) x₁ = 4 and 3) x₂ = -3/2

Spymore