Solve t^26-e1 - ScanMath

Question

Simplify the expression

6 t^{2} - e

Evaluate

t^{2} \times 6 - e \times 1

Use the commutative property to reorder the terms

6 t^{2} - e \times 1

Solution

6 t^{2} - e

Show Solution

t_{1} = - \frac{6 e}{6}, t_{2} = \frac{6 e}{6}

Alternative Form

t_{1} \approx - 0.673088, t_{2} \approx 0.673088

Evaluate

t^{2} \times 6 - e \times 1

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

t^{2} \times 6 - e \times 1 = 0

Use the commutative property to reorder the terms

6 t^{2} - e \times 1 = 0

Multiply the numbers

6 t^{2} - e = 0

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

6 t^{2} = 0 + e

Add the terms

6 t^{2} = e

Divide both sides

\frac{6 t ^{2}}{6} = \frac{e}{6}

Divide the numbers

t^{2} = \frac{e}{6}

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

t = \pm \frac{e}{6}

Simplify the expression

More Steps

Evaluate

\frac{e}{6}

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

\frac{e}{6}

Multiply by the Conjugate

\frac{e \times 6}{6 \times 6}

Multiply the numbers

More Steps

Evaluate

e \times 6

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

e \times 6

Calculate the product

6 e

\frac{6 e}{6 \times 6}

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

\frac{6 e}{6}

t = \pm \frac{6 e}{6}

Separate the equation into 2 possible cases

t = \frac{6 e}{6} t = - \frac{6 e}{6}

Solution

t_{1} = - \frac{6 e}{6}, t_{2} = \frac{6 e}{6}

Alternative Form

t_{1} \approx - 0.673088, t_{2} \approx 0.673088

Show Solution