Solve (3-2x)^2 4x^2-9=0

Question

(3 - 2 x)^{2} \times 4 x^{2} - 9 = 0

Solve the equation

x_{1} = \frac{3 - 21}{4}, x_{2} = \frac{3 + 21}{4}

Alternative Form

x_{1} \approx - 0.395644, x_{2} \approx 1.895644

Evaluate

(3 - 2 x)^{2} \times 4 x^{2} - 9 = 0

Use the commutative property to reorder the terms

4 (3 - 2 x)^{2} x^{2} - 9 = 0

Calculate

More Steps

36 x^{2} - 48 x^{3} + 16 x^{4} - 9 = 0

Factor the expression

(6 x - 4 x^{2} + 3) (6 x - 4 x^{2} - 3) = 0

Separate the equation into 2 possible cases

6 x - 4 x^{2} + 3 = 0 6 x - 4 x^{2} - 3 = 0

Solve the equation

More Steps

x = \frac{3 + 21}{4} x = \frac{3 - 21}{4} 6 x - 4 x^{2} - 3 = 0

Solve the equation

More Steps

x = \frac{3 + 21}{4} x = \frac{3 - 21}{4} x \in / R

Find the union

x = \frac{3 + 21}{4} x = \frac{3 - 21}{4}

Solution

x_{1} = \frac{3 - 21}{4}, x_{2} = \frac{3 + 21}{4}

Alternative Form

x_{1} \approx - 0.395644, x_{2} \approx 1.895644

Show Solution