Solve h2-42 = -h using the quadratic formula. A) h = 0 or h = 7 B) h = -6 or h = 7 C) h = 6 or h= -7 D) h = -6 or h = -7

Question

asked Apr 10, 2020 1.0k views

1 Answer

Craig Squire · Answer 1 · 2020-04-15T18:52:53+0000

Answer: Option C

h = 6 or h= -7

Explanation:

We have the expression

h^2-42 = -h

To solve add h on both sides of the equality

h^2+h-42 = -h+h

h^2+h-42 = 0

For an equation of the form
ah^2 +bh +c the quadratic formula is

$h=(-b \± √(b^2 -4ac))/(2a)$

In this case

$a = 1\\b= 1\\c =-42$

$h=(-1 \± √(1^2 -4(1)(-42)))/(2(1))$

h_1=6

h_2=-7

The answer is the option C