Solve 17x^2 - 181 - 442

Question

Simplify the expression

17 x^{2} - 623

Evaluate

17 x^{2} - 181 - 442

Solution

17 x^{2} - 623

Show Solution

x_{1} = - \frac{10591}{17}, x_{2} = \frac{10591}{17}

Alternative Form

x_{1} \approx - 6.053681, x_{2} \approx 6.053681

Evaluate

17 x^{2} - 181 - 442

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

17 x^{2} - 181 - 442 = 0

Subtract the numbers

17 x^{2} - 623 = 0

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

17 x^{2} = 0 + 623

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

17 x^{2} = 623

Divide both sides

\frac{17 x ^{2}}{17} = \frac{623}{17}

Divide the numbers

x^{2} = \frac{623}{17}

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

x = \pm \frac{623}{17}

Simplify the expression

More Steps

Evaluate

\frac{623}{17}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{623}{17}

Multiply by the Conjugate

\frac{623 \times 17}{17 \times 17}

Multiply the numbers

More Steps

Evaluate

623 \times 17

The product of roots with the same index is equal to the root of the product

623 \times 17

Calculate the product

10591

\frac{10591}{17 \times 17}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{10591}{17}

x = \pm \frac{10591}{17}

Separate the equation into 2 possible cases

x = \frac{10591}{17} x = - \frac{10591}{17}

Solution

x_{1} = - \frac{10591}{17}, x_{2} = \frac{10591}{17}

Alternative Form

x_{1} \approx - 6.053681, x_{2} \approx 6.053681

Show Solution