Question

What are the solutions to the equation x2+7+8=0

Answer 1

Hello there!

Answer: No real solutions


Here are the steps to solve this kind of problems

x² + 7 + 8 = 0

x² + 15 = 0

Let's start by subtracting 15 from both sides

x² + 15 - 15 = 0 - 15

x² = -15

Then take square root

x = +/-√-15

Thus,

No real solutions!

I hope this helps and please let me know if you have questions about the answer.

Good luck with your studies!

Happy New Year!

Answer 2

X² + 7 + 8 = 0

Add like terms.

x² + (7 + 8) = 0

Simplify.

x² + 15 = 0

We're simply just trying to find "x"

When solving for a variable, we need to get it isolated. That just means that we need to get it onto its' own side of the equal sign.

So, simply subtract 15 from both sides.

x² = -15

We have to subtract it so that it cancels out. If we had added 15 to both sides, then there would be an even larger number that is still on the same side as "x"

Find the square root of both x² & -15.

√x² = x

√(-15) = ±√(-15)

So, x = ±√(-15)

Therefore, this equation has no solutions.

~Hope I helped!~ :)