Solve j^29911559/1-55

Question

Simplify the expression

9911559 j^{2} - 55

Evaluate

j^{2} \times \frac{9911559}{1} - 55

Divide the terms

j^{2} \times 9911559 - 55

Solution

9911559 j^{2} - 55

Show Solution

j_{1} = - \frac{545135745}{9911559}, j_{2} = \frac{545135745}{9911559}

Alternative Form

j_{1} \approx - 0.002356, j_{2} \approx 0.002356

Evaluate

j^{2} \times \frac{9911559}{1} - 55

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

j^{2} \times \frac{9911559}{1} - 55 = 0

Divide the terms

j^{2} \times 9911559 - 55 = 0

Use the commutative property to reorder the terms

9911559 j^{2} - 55 = 0

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

9911559 j^{2} = 0 + 55

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

9911559 j^{2} = 55

Divide both sides

\frac{9911559 j ^{2}}{9911559} = \frac{55}{9911559}

Divide the numbers

j^{2} = \frac{55}{9911559}

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

j = \pm \frac{55}{9911559}

Simplify the expression

More Steps

Evaluate

\frac{55}{9911559}

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

\frac{55}{9911559}

Multiply by the Conjugate

\frac{55 \times 9911559}{9911559 \times 9911559}

Multiply the numbers

More Steps

Evaluate

55 \times 9911559

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

55 \times 9911559

Calculate the product

545135745

\frac{545135745}{9911559 \times 9911559}

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

\frac{545135745}{9911559}

j = \pm \frac{545135745}{9911559}

Separate the equation into 2 possible cases

j = \frac{545135745}{9911559} j = - \frac{545135745}{9911559}

Solution

j_{1} = - \frac{545135745}{9911559}, j_{2} = \frac{545135745}{9911559}

Alternative Form

j_{1} \approx - 0.002356, j_{2} \approx 0.002356

Show Solution