What is the answer to 3x^2+8x+5=sqrt(33x^2+76x+35) ?

The answer to 3x^2+8x+5=sqrt(33x^2+76x+35) is x= 1/3 ,x=-5/3 ,x=-2+sqrt(2),x=-2-sqrt(2)

Solve for x: 3x^2+8x+5=sqrt(33x^2+76x+35)

The solution is x= 1/3 ,x=-5/3 ,x=-2+sqrt(2),x=-2-sqrt(2)

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3 x^{2} + 8 x + 5 = 33 x^{2} + 76 x + 35

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

Decimal Notation

x = 0.33333 \dots, x = - 1.66666 \dots, x = - 0.58578 \dots, x = - 3.41421 \dots

Solution steps

3 x^{2} + 8 x + 5 = 33 x^{2} + 76 x + 35

Square both sides:

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35

Solve

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35 : x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

Verify Solutions:

x = \frac{1}{3}

True

, x = - \frac{5}{3}

True

, x = - 2 + 2

True

, x = - 2 - 2

True

The solutions are

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

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

\frac{1}{5} = \frac{1}{2 c}

k = 4 + 48 - 4 k

What is the answer to 3x^2+8x+5=sqrt(33x^2+76x+35) ?
The answer to 3x^2+8x+5=sqrt(33x^2+76x+35) is x= 1/3 ,x=-5/3 ,x=-2+sqrt(2),x=-2-sqrt(2)
Solve for x: 3x^2+8x+5=sqrt(33x^2+76x+35)
The solution is x= 1/3 ,x=-5/3 ,x=-2+sqrt(2),x=-2-sqrt(2)