Question

athaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. What are the solutions to the equation? x = –1, 6 x = –6, 1 x = –22, 27 x = –27, 22

Answer 1

lolz

Explanation:

Answer 2

x = - 6 or x = 1

Explanation:

given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0

then the equation can be solved using the quadratic formula

• x = ( - b ±
`√(b^2-4ac)`) / 2a

x² + 5x - 6 = 0 is in standard form

with a = 1, b = 5 and c = - 6

x = (- 5 ±
`√(5^2-(4(1)(-6))`) / 2

= (- 5 ±
`√(25+24)`) / 2

= (- 5 ±
`√(49)`) / 2

x =
`(-5-7)/(2)` =
`(-12)/(2)` = - 6

or x =
`(-5+7)/(2)` =
`(2)/(2)` = 1