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Solve using the quadratic formula

Solve using the quadratic formula-example-1

1 Answer

6 votes

Answer:

w =
3√(2) or w =
-3√(2)

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 +- √(0 + 1800)} {10}


w = (0 +- √(1800))/(10)


w = (0 + √(1800) )/(10) or
w = (0 - √(1800))/(10)


w = (30√(2) )/(10) or
w = \frac{-30√(2)} {10}


w = 3√(2) or
w = - 3√(2)

Hope this helps!

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