Which are the solutions of x2 = –7x – 8?

Question

asked Mar 4, 2020 127k views

2 Answers

Stacker · Answer 1 · 2020-03-08T05:48:31+0000

Answer:

The solutions are:

x_1=(-7+√(17))/(2)
x_2=(-7-√(17))/(2)

Explanation:

We have the following quadratic equation

x^2 = -7x - 8

We can rewrite the equation as follows

x^2+7x + 8=0

Now we use the quadratic formula to solve the equation

For an equation of the form
ax ^ 2 + bx + c = 0 the quadratic formula is:

$x=(-b\±√(b^2-4ac))/(2a)$

In this case:

$a=1,\ b=7,\ c=8$

Then:

$x=(-7\±√(7^2-4(1)(8)))/(2(1))$

$x=(-7\±√(49-32))/(2)$

$x=(-7\±√(17))/(2)$

x_1=(-7+√(17))/(2)

x_2=(-7-√(17))/(2)