Question

Solve equation by using the quadratic formula.
15x² + 22x = -8

Answer 1

`x` =
`(-2)/(3)` or
`x` = -1

Explanation:

quadratic formula⇒ -b ±
`\sqrt{b^(2) -4ac}` / 2a

15
`x`² + 22
`x` = -8

15
`x`² + 22
`x` +8 = 0

taking a=15, b=22 & c=8;

`x` = (-22 ±
`\sqrt{ - 22^(2) 4 × 15 × 8}`)/ 2 x 15 ⇒ (Pls note that the A~s are multiplications.. unable to insert symbols in equations)

= (-22 ±
`√(484 - 480)`) / 30

= (-22 ±
`√(4)`) / 30

= (-22 ± 2) / 30

`x` =
`(-22 + 2)/(30)` or
`x` =
`(-22 - 2)/(30)`

`x` = -
`(-20)/(30)` or
`x` =
`(-30)/(30)`

`x` =
`(-2)/(3)` or
`x` = -1