What is the answer to 7sqrt(x^2)-3x=4x^2-12x-3 ?

The answer to 7sqrt(x^2)-3x=4x^2-12x-3 is x\approx-0.65138…,x\approx 4.17944…

Solve for x: 7sqrt(x^2)-3x=4x^2-12x-3

The solution is x\approx-0.65138…,x\approx 4.17944…

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7 x^{2} - 3 x = 4 x^{2} - 12 x - 3

x \approx - 0.65138 \dots, x \approx 4.17944 \dots

Solution steps

7 x^{2} - 3 x = 4 x^{2} - 12 x - 3

Remove square roots

49 x^{2} = 16 x^{4} - 72 x^{3} + 57 x^{2} + 54 x + 9

Solve

49 x^{2} = 16 x^{4} - 72 x^{3} + 57 x^{2} + 54 x + 9 : x \approx - 0.17944 \dots, x \approx - 0.65138 \dots, x \approx 1.15138 \dots, x \approx 4.17944 \dots

x \approx - 0.17944 \dots, x \approx - 0.65138 \dots, x \approx 1.15138 \dots, x \approx 4.17944 \dots

Verify Solutions:

x \approx - 0.17944 \dots

False

, x \approx - 0.65138 \dots

True

, x \approx 1.15138 \dots

False

, x \approx 4.17944 \dots

True

The solutions are

x \approx - 0.65138 \dots, x \approx 4.17944 \dots

x, 19 u = \frac{( 5 x + 1 )}{( 2 x )}

\frac{( x + \frac{1}{x} ) ^{\frac{1}{2}} + ( x + \frac{1}{x} ) 1}{2} = x

(7 x)^{\frac{1}{3}} = x^{\frac{1}{2}}

x = 5 x - 4

8 = 3 + (m - 9)^{\frac{1}{2}}

What is the answer to 7sqrt(x^2)-3x=4x^2-12x-3 ?
The answer to 7sqrt(x^2)-3x=4x^2-12x-3 is x\approx-0.65138…,x\approx 4.17944…
Solve for x: 7sqrt(x^2)-3x=4x^2-12x-3
The solution is x\approx-0.65138…,x\approx 4.17944…