Question

PLEASE DO SOON!!! Use the quadratic formula to solve 5x2 + 8 + 1 = 0.

Match the letter of the equation to the step number. (need 5 steps)

Answer 1

`(-8 (+)/(-) √(64-20) )/(10)`Answer:

A -> H -> B -> E -> F

Explanation:

Equation for Quadratic Formula:

`(-b (+)/(-) √(b^2-4ac) )/(2a)`

a = 5, b = 8, c = 1

The following is letter A

`(-8 (+)/(-) √(8^2-4(5)(1)) )/(2(5))`

Next: Do basic arithmetic on the values

8^2 - 4(5)(1) = 64 - 20

2(5) = 10

Letter H ->

`(-8 (+)/(-) √(64-20) )/(10)`

Next: Subtract 64-20 in the square root of the numerator

Letter B ->

`(-8 (+)/(-) √(44) )/(10)`

Next: We see that
`√(44)` =
`√((4)(11)) = 2√(11)`

Letter E ->

`(-8 (+)/(-) 2√(11) )/(10)`

Lastly, multiply the top and bottom by 1/2

Letter F ->

`(-4 (+)/(-) √(11) )/(5)`