Solve T^2-6/22 - ScanMath

Question

Simplify the expression

T^{2} - \frac{3}{11}

Evaluate

T^{2} - \frac{6}{22}

Solution

T^{2} - \frac{3}{11}

Show Solution

\frac{1}{11} (11 T^{2} - 3)

Evaluate

T^{2} - \frac{6}{22}

Cancel out the common factor 2

T^{2} - \frac{3}{11}

Solution

\frac{1}{11} (11 T^{2} - 3)

Show Solution

T_{1} = - \frac{33}{11}, T_{2} = \frac{33}{11}

Alternative Form

T_{1} \approx - 0.522233, T_{2} \approx 0.522233

Evaluate

T^{2} - \frac{6}{22}

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

T^{2} - \frac{6}{22} = 0

Cancel out the common factor 2

T^{2} - \frac{3}{11} = 0

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

T^{2} = 0 + \frac{3}{11}

Add the terms

T^{2} = \frac{3}{11}

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

T = \pm \frac{3}{11}

Simplify the expression

More Steps

Evaluate

\frac{3}{11}

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

\frac{3}{11}

Multiply by the Conjugate

\frac{3 \times 11}{11 \times 11}

Multiply the numbers

More Steps

Evaluate

3 \times 11

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

3 \times 11

Calculate the product

33

\frac{33}{11 \times 11}

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

\frac{33}{11}

T = \pm \frac{33}{11}

Separate the equation into 2 possible cases

T = \frac{33}{11} T = - \frac{33}{11}

Solution

T_{1} = - \frac{33}{11}, T_{2} = \frac{33}{11}

Alternative Form

T_{1} \approx - 0.522233, T_{2} \approx 0.522233

Show Solution