Question

Solve using the quadratic formula

Answer 1

Answer:

w = $3\sqrt{2}$  or w = $-3\sqrt{2}$

Step-by-step explanation:

5w^2 - 90 = 0

5w^2 + 0w - 90 = 0

aw^2 + bw + c = 0 ----> a = 5, b = 0, c = -90

$w = \frac{-b +- \sqrt{b^{2} - 4ac} }{2a}$

$w = \frac{-0 +- \sqrt{0^{2} - 4(5)(-90)} }{2(5)}$

$w = \frac{-0 +- \sqrt{0 + 1800}} {10}$

$w = \frac{0 +- \sqrt{1800}}{10}$

$w = \frac{0 + \sqrt{1800} }{10}$   or  $w = \frac{0 - \sqrt{1800}}{10}$

$w = \frac{30\sqrt{2} }{10}$  or  $w = \frac{-30\sqrt{2}} {10}$

$w = 3\sqrt{2}$ or  $w = - 3\sqrt{2}$

Hope this helps!