Question

Which numbers are solutions of h^2+4=8h−3?
Options:
1
3
5
7

Answer 1

1 and 7

Explanation:

First, move all of the terms and numbers to the left side of the equation:

h² + 4 = 8h - 3

h² - 8h + 7 = 0

Now, factor the equation by finding 2 factors of 7 that add up to -8

These two factors will be -1 and -7

So, the factored form of the equation is (x - 1)(x - 7)

Then, set each factor to 0 and solve for x:

x - 1 = 0

x = 1

Second factor:

x - 7 = 0

x = 7

So, 1 and 7 are solutions of the equation.