Solve j^25-100-31

Question

Simplify the expression

5 j^{2} - 131

Evaluate

j^{2} \times 5 - 100 - 31

Use the commutative property to reorder the terms

5 j^{2} - 100 - 31

Solution

5 j^{2} - 131

Show Solution

j_{1} = - \frac{655}{5}, j_{2} = \frac{655}{5}

Alternative Form

j_{1} \approx - 5.118594, j_{2} \approx 5.118594

Evaluate

j^{2} \times 5 - 100 - 31

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

j^{2} \times 5 - 100 - 31 = 0

Use the commutative property to reorder the terms

5 j^{2} - 100 - 31 = 0

Subtract the numbers

5 j^{2} - 131 = 0

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

5 j^{2} = 0 + 131

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

5 j^{2} = 131

Divide both sides

\frac{5 j ^{2}}{5} = \frac{131}{5}

Divide the numbers

j^{2} = \frac{131}{5}

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

j = \pm \frac{131}{5}

Simplify the expression

More Steps

Evaluate

\frac{131}{5}

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

\frac{131}{5}

Multiply by the Conjugate

\frac{131 \times 5}{5 \times 5}

Multiply the numbers

More Steps

Evaluate

131 \times 5

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

131 \times 5

Calculate the product

655

\frac{655}{5 \times 5}

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

\frac{655}{5}

j = \pm \frac{655}{5}

Separate the equation into 2 possible cases

j = \frac{655}{5} j = - \frac{655}{5}

Solution

j_{1} = - \frac{655}{5}, j_{2} = \frac{655}{5}

Alternative Form

j_{1} \approx - 5.118594, j_{2} \approx 5.118594

Show Solution