What is the answer to 4=3x+sqrt(54-9x+7x^2) ?

The answer to 4=3x+sqrt(54-9x+7x^2) is x=-2

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4=3x+sqrt(54-9x+7x^2)

4 = 3 x + 54 - 9 x + 7 x^{2}

x = - 2

Solution steps

4 = 3 x + 54 - 9 x + 7 x^{2}

Remove square roots

16 - 24 x + 9 x^{2} = 54 - 9 x + 7 x^{2}

Solve

16 - 24 x + 9 x^{2} = 54 - 9 x + 7 x^{2} : x = \frac{19}{2}, x = - 2

x = \frac{19}{2}, x = - 2

Verify Solutions:

x = \frac{19}{2}

False

, x = - 2

True

The solution is

x = - 2

x - 23 = 5

8 x + 25 - 2 x + 4 = 3

c, a = \frac{b - c}{2 c} + d

4 8 x + 12 - 9 = - 11

3 2 x + 7 + 6 = 3

What is the answer to 4=3x+sqrt(54-9x+7x^2) ?
The answer to 4=3x+sqrt(54-9x+7x^2) is x=-2
Solve for x: 4=3x+sqrt(54-9x+7x^2)
The solution is x=-2