Solve 9x^2-12x^4 4x^2=9x^2 12x^4

Question

Solve the equation

x_{1} = - \frac{4 3 \times 5 2 ^{3}}{52}, x_{2} = 0, x_{3} = \frac{4 3 \times 5 2 ^{3}}{52}

Alternative Form

x_{1} \approx - 0.490094, x_{2} = 0, x_{3} \approx 0.490094

Evaluate

9 x^{2} - 12 x^{4} \times 4 x^{2} = 9 x^{2} \times 12 x^{4}

Multiply

More Steps

9 x^{2} - 48 x^{6} = 9 x^{2} \times 12 x^{4}

Multiply

More Steps

9 x^{2} - 48 x^{6} = 108 x^{6}

Move the expression to the left side

9 x^{2} - 48 x^{6} - 108 x^{6} = 0

Subtract the terms

More Steps

9 x^{2} - 156 x^{6} = 0

Factor the expression

3 x^{2} (3 - 52 x^{4}) = 0

Divide both sides

x^{2} (3 - 52 x^{4}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 3 - 52 x^{4} = 0

The only way a power can be 0 is when the base equals 0

x = 0 3 - 52 x^{4} = 0

Solve the equation

More Steps

x = 0 x = \frac{4 3 \times 5 2 ^{3}}{52} x = - \frac{4 3 \times 5 2 ^{3}}{52}

Solution

x_{1} = - \frac{4 3 \times 5 2 ^{3}}{52}, x_{2} = 0, x_{3} = \frac{4 3 \times 5 2 ^{3}}{52}

Alternative Form

x_{1} \approx - 0.490094, x_{2} = 0, x_{3} \approx 0.490094

Show Solution