What is the answer to 6w+7w^{1/2}-20=0 ?

The answer to 6w+7w^{1/2}-20=0 is w= 16/9

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6w+7w^{1/2}-20=0

6 w + 7 w^{\frac{1}{2}} - 20 = 0

w = \frac{16}{9}

Solution steps

6 w + 7 w^{\frac{1}{2}} - 20 = 0

Remove square roots

49 w = 36 w^{2} - 240 w + 400

Solve

49 w = 36 w^{2} - 240 w + 400 : w = \frac{25}{4}, w = \frac{16}{9}

w = \frac{25}{4}, w = \frac{16}{9}

Verify Solutions:

w = \frac{25}{4}

False

, w = \frac{16}{9}

True

The solution is

w = \frac{16}{9}

2 x - 3 x^{\frac{1}{2}} + 1 = 0

3 - 2 x = x

8 - 7 z - z^{2} + 20 = 0

1 + 2 z = 4 z + 5 + 2 z

2 x + 9 - x = 3

What is the answer to 6w+7w^{1/2}-20=0 ?
The answer to 6w+7w^{1/2}-20=0 is w= 16/9
Solve for w: 6w+7w^{1/2}-20=0
The solution is w= 16/9