Solve j^2-13j^42 - ScanMath

Question

Simplify the expression

j^{2} - 26 j^{4}

Evaluate

j^{2} - 13 j^{4} \times 2

Solution

j^{2} - 26 j^{4}

Show Solution

j^{2} (1 - 26 j^{2})

Evaluate

j^{2} - 13 j^{4} \times 2

Multiply the terms

j^{2} - 26 j^{4}

Rewrite the expression

j^{2} - j^{2} \times 26 j^{2}

Solution

j^{2} (1 - 26 j^{2})

Show Solution

j_{1} = - \frac{26}{26}, j_{2} = 0, j_{3} = \frac{26}{26}

Alternative Form

j_{1} \approx - 0.196116, j_{2} = 0, j_{3} \approx 0.196116

Evaluate

j^{2} - 13 j^{4} \times 2

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

j^{2} - 13 j^{4} \times 2 = 0

Multiply the terms

j^{2} - 26 j^{4} = 0

Factor the expression

j^{2} (1 - 26 j^{2}) = 0

Separate the equation into 2 possible cases

j^{2} = 0 1 - 26 j^{2} = 0

The only way a power can be 0 is when the base equals 0

j = 0 1 - 26 j^{2} = 0

Solve the equation

More Steps

Evaluate

1 - 26 j^{2} = 0

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

- 26 j^{2} = 0 - 1

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

- 26 j^{2} = - 1

Change the signs on both sides of the equation

26 j^{2} = 1

Divide both sides

\frac{26 j ^{2}}{26} = \frac{1}{26}

Divide the numbers

j^{2} = \frac{1}{26}

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

j = \pm \frac{1}{26}

Simplify the expression

More Steps

Evaluate

\frac{1}{26}

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

\frac{1}{26}

Simplify the radical expression

\frac{1}{26}

Multiply by the Conjugate

\frac{26}{26 \times 26}

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

\frac{26}{26}

j = \pm \frac{26}{26}

Separate the equation into 2 possible cases

j = \frac{26}{26} j = - \frac{26}{26}

j = 0 j = \frac{26}{26} j = - \frac{26}{26}

Solution

j_{1} = - \frac{26}{26}, j_{2} = 0, j_{3} = \frac{26}{26}

Alternative Form

j_{1} \approx - 0.196116, j_{2} = 0, j_{3} \approx 0.196116

Show Solution