Answer: x = 4
Step-by-step explanation:
x² + 2x = 24.
x² + 2x - 24= 0
Solving this quadratic equation to find the root we will find the value of x.
x² + 2x - 24 =0
x² - 4x + 6x - 24 =0
Factorize.
x( x - 4) + 6( x - 4)
x + 6 = 0 or x - 4 = 0
x = - 6 or x = 4. Now we can check the values by substituting the value of x in the equation, we start with the positive value. x = 4
x² + 2x = 24 sub.
4² + 2(4) = 24
16 + 8 = 24
24 = 24
Now we can say when x = 4, the equation is true.
