What is the answer to 2w+3=sqrt(4w^2+14w+12) ?

The answer to 2w+3=sqrt(4w^2+14w+12) is w=-3/2

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2w+3=sqrt(4w^2+14w+12)

2 w + 3 = 4 w^{2} + 14 w + 12

w = - \frac{3}{2}

Solution steps

2 w + 3 = 4 w^{2} + 14 w + 12

Square both sides:

4 w^{2} + 12 w + 9 = 4 w^{2} + 14 w + 12

4 w^{2} + 12 w + 9 = 4 w^{2} + 14 w + 12

Solve

4 w^{2} + 12 w + 9 = 4 w^{2} + 14 w + 12 : w = - \frac{3}{2}

w = - \frac{3}{2}

Verify Solutions:

w = - \frac{3}{2}

True

The solution is

w = - \frac{3}{2}

y + y + 7 = 4

2 - x = x + 4

x^{\frac{1}{5}} = 2

x x = x + 2 x

x - 1 = x - 7

What is the answer to 2w+3=sqrt(4w^2+14w+12) ?
The answer to 2w+3=sqrt(4w^2+14w+12) is w=-3/2
Solve for w: 2w+3=sqrt(4w^2+14w+12)
The solution is w=-3/2