Solve s^22-13-0 - ScanMath

Question

Simplify the expression

2 s^{2} - 13

Evaluate

s^{2} \times 2 - 13 - 0

Use the commutative property to reorder the terms

2 s^{2} - 13 - 0

Solution

2 s^{2} - 13

Show Solution

s_{1} = - \frac{26}{2}, s_{2} = \frac{26}{2}

Alternative Form

s_{1} \approx - 2.54951, s_{2} \approx 2.54951

Evaluate

s^{2} \times 2 - 13 - 0

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

s^{2} \times 2 - 13 - 0 = 0

Use the commutative property to reorder the terms

2 s^{2} - 13 - 0 = 0

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

2 s^{2} - 13 = 0

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

2 s^{2} = 0 + 13

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

2 s^{2} = 13

Divide both sides

\frac{2 s ^{2}}{2} = \frac{13}{2}

Divide the numbers

s^{2} = \frac{13}{2}

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

s = \pm \frac{13}{2}

Simplify the expression

More Steps

Evaluate

\frac{13}{2}

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

\frac{13}{2}

Multiply by the Conjugate

\frac{13 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

13 \times 2

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

13 \times 2

Calculate the product

26

\frac{26}{2 \times 2}

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

\frac{26}{2}

s = \pm \frac{26}{2}

Separate the equation into 2 possible cases

s = \frac{26}{2} s = - \frac{26}{2}

Solution

s_{1} = - \frac{26}{2}, s_{2} = \frac{26}{2}

Alternative Form

s_{1} \approx - 2.54951, s_{2} \approx 2.54951

Show Solution