Solve (5a 9)^2-49=0

Evaluate

(5 a \times 9)^{2} - 49 = 0

Simplify

More Steps

2025 a^{2} - 49 = 0

Add or subtract both sides

2025 a^{2} = 49

Divide both sides

\frac{2025 a ^{2}}{2025} = \frac{49}{2025}

Divide the numbers

a^{2} = \frac{49}{2025}

Take the root of both sides of the equation and remember to use both positive and negative roots

a = \pm \frac{49}{2025}

Simplify the expression

a = \pm \frac{7}{45}

Separate the equation into 2 possible cases

a = \frac{7}{45} a = - \frac{7}{45}

Solution

a_{1} = - \frac{7}{45}, a_{2} = \frac{7}{45}

Alternative Form

a_{1} = - 0.1 \dot{5}, a_{2} = 0.1 \dot{5}

Solve the quadratic equation