Solve j^2094-60001

Question

Simplify the expression

94 j^{2} - 60001

Evaluate

j^{2} \times 94 - 60001

Solution

94 j^{2} - 60001

Show Solution

j_{1} = - \frac{5640094}{94}, j_{2} = \frac{5640094}{94}

Alternative Form

j_{1} \approx - 25.264768, j_{2} \approx 25.264768

Evaluate

j^{2} \times 94 - 60001

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

j^{2} \times 94 - 60001 = 0

Use the commutative property to reorder the terms

94 j^{2} - 60001 = 0

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

94 j^{2} = 0 + 60001

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

94 j^{2} = 60001

Divide both sides

\frac{94 j ^{2}}{94} = \frac{60001}{94}

Divide the numbers

j^{2} = \frac{60001}{94}

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

j = \pm \frac{60001}{94}

Simplify the expression

More Steps

Evaluate

\frac{60001}{94}

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

\frac{60001}{94}

Multiply by the Conjugate

\frac{60001 \times 94}{94 \times 94}

Multiply the numbers

More Steps

Evaluate

60001 \times 94

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

60001 \times 94

Calculate the product

5640094

\frac{5640094}{94 \times 94}

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

\frac{5640094}{94}

j = \pm \frac{5640094}{94}

Separate the equation into 2 possible cases

j = \frac{5640094}{94} j = - \frac{5640094}{94}

Solution

j_{1} = - \frac{5640094}{94}, j_{2} = \frac{5640094}{94}

Alternative Form

j_{1} \approx - 25.264768, j_{2} \approx 25.264768

Show Solution