Question

X^2 + 4x = 14
a) x = 3
b) x = -3
c) x = 5
d) x = -5

Answer 1

The solutions of the quadratic equation x² + 4x = 14 are:

x =-6.25

x = 2.25

How to solve the quadratic equation?

We want to solve the quadratic equation:

x² + 4x = 14

We can rewrite this as:

x² + 4x - 14 = 0

We can use the quadratic formula to find the solutions, we will get:

`x = (-4 \pm √(4^2 - 4*1*-14) )/(2*1) \\\\x (-4 \pm 8.5 )/(2)`

Then the two solutions are:

x = (-4 - 8.5)/2 = -6.25

x = (-4 + 8.5)/2 = 2.25

The better estimations of the solutions are a and d, but neither are correct.