Question

0) = 180" alt="(x + 25) (9x + 10) = 180" align="absmiddle" class="latex-formula">

Answer 1

Answer: x = -0.3, x = -25.8

Step-by-step explanation:

(x + 25)(9x + 10) = 180

x(9x+10) + 25(9x+10) = 180

9x² + 10x + 225x + 250 = 180

9x² + 235x + 250 = 180

9x² + 235x + 70 = 0

a=9  b=235  c=70

Use Quadratic Formula to find the roots: $x = \frac{-b+/-\sqrt{b^{2}-4ac}}{2a}$

$x = \frac{-235+/-\sqrt{235^{2}-4(9)(70)}}{2(9)}$

  $= \frac{-235+/-\sqrt{55225-2520}}{18}$

  $= \frac{-235+/-\sqrt{52705}}{18}$

  $= \frac{-235+/-229.6}{18}$

  $=\frac{-235+229.6}{18}$      ,        $=\frac{-235-229.6}{18}$

  $= \frac{-5.4}{18}$      ,        $\frac{-464.6}{18}$

   = -0.3      ,        -25.8