Solve 20x^2 - 5615

Evaluate

20 x^{2} - 5615

To find the roots of the expression,set the expression equal to 0

20 x^{2} - 5615 = 0

Move the constant to the right-hand side and change its sign

20 x^{2} = 0 + 5615

Removing 0 doesn't change the value,so remove it from the expression

20 x^{2} = 5615

Divide both sides

\frac{20 x ^{2}}{20} = \frac{5615}{20}

Divide the numbers

x^{2} = \frac{5615}{20}

Cancel out the common factor 5

x^{2} = \frac{1123}{4}

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

x = \pm \frac{1123}{4}

Simplify the expression

More Steps

x = \pm \frac{1123}{2}

Separate the equation into 2 possible cases

x = \frac{1123}{2} x = - \frac{1123}{2}

Solution

x_{1} = - \frac{1123}{2}, x_{2} = \frac{1123}{2}

Alternative Form

x_{1} \approx - 16.755596, x_{2} \approx 16.755596

Factor the expression