Question

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

Answer 1

Answer:

$x$ =$\frac{-2}{3}$   or   $x$ = -1

Step-by-step 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 ± $\sqrt{484 - 480}$) / 30

  = (-22 ± $\sqrt{4}$) / 30

  = (-22 ± 2) / 30

$x$ = $\frac{-22 + 2}{30}$  or  $x$ =$\frac{-22 - 2}{30}$

$x$ = -$\frac{-20}{30}$    or $x$ = $\frac{-30}{30}$

$x$ =$\frac{-2}{3}$ or $x$ = -1