Solve j^29-700-23

Question

Simplify the expression

9 j^{2} - 723

Evaluate

j^{2} \times 9 - 700 - 23

Use the commutative property to reorder the terms

9 j^{2} - 700 - 23

Solution

9 j^{2} - 723

Show Solution

3 (3 j^{2} - 241)

Evaluate

j^{2} \times 9 - 700 - 23

Use the commutative property to reorder the terms

9 j^{2} - 700 - 23

Subtract the numbers

9 j^{2} - 723

Solution

3 (3 j^{2} - 241)

Show Solution

j_{1} = - \frac{723}{3}, j_{2} = \frac{723}{3}

Alternative Form

j_{1} \approx - 8.962886, j_{2} \approx 8.962886

Evaluate

j^{2} \times 9 - 700 - 23

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

j^{2} \times 9 - 700 - 23 = 0

Use the commutative property to reorder the terms

9 j^{2} - 700 - 23 = 0

Subtract the numbers

9 j^{2} - 723 = 0

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

9 j^{2} = 0 + 723

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

9 j^{2} = 723

Divide both sides

\frac{9 j ^{2}}{9} = \frac{723}{9}

Divide the numbers

j^{2} = \frac{723}{9}

Cancel out the common factor 3

j^{2} = \frac{241}{3}

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

j = \pm \frac{241}{3}

Simplify the expression

More Steps

Evaluate

\frac{241}{3}

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

\frac{241}{3}

Multiply by the Conjugate

\frac{241 \times 3}{3 \times 3}

Multiply the numbers

More Steps

Evaluate

241 \times 3

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

241 \times 3

Calculate the product

723

\frac{723}{3 \times 3}

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

\frac{723}{3}

j = \pm \frac{723}{3}

Separate the equation into 2 possible cases

j = \frac{723}{3} j = - \frac{723}{3}

Solution

j_{1} = - \frac{723}{3}, j_{2} = \frac{723}{3}

Alternative Form

j_{1} \approx - 8.962886, j_{2} \approx 8.962886

Show Solution