What is the answer to 5w-sqrt(27w+7)=3w-1 ?

The answer to 5w-sqrt(27w+7)=3w-1 is w=6,w=-1/4

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5w-sqrt(27w+7)=3w-1

5 w - 27 w + 7 = 3 w - 1

w = 6, w = - \frac{1}{4}

Decimal Notation

w = 6, w = - 0.25

Solution steps

5 w - 27 w + 7 = 3 w - 1

Remove square roots

27 w + 7 = 4 w^{2} + 4 w + 1

Solve

27 w + 7 = 4 w^{2} + 4 w + 1 : w = 6, w = - \frac{1}{4}

w = 6, w = - \frac{1}{4}

Verify Solutions:

w = 6

True

, w = - \frac{1}{4}

True

The solutions are

w = 6, w = - \frac{1}{4}

2 - x = 3 - 7 - 3 x

x - 7 x + 12 = 0

x^{\frac{1}{4}} = 3

x^{- \frac{1}{2}} = \frac{1}{9}

x^{2} - 4 = x - 2

What is the answer to 5w-sqrt(27w+7)=3w-1 ?
The answer to 5w-sqrt(27w+7)=3w-1 is w=6,w=-1/4
Solve for w: 5w-sqrt(27w+7)=3w-1
The solution is w=6,w=-1/4