Solve 15-t^2022 - ScanMath

Question

Simplify the expression

15 - 22 t^{2}

Evaluate

15 - t^{2} \times 22

Solution

15 - 22 t^{2}

Show Solution

t_{1} = - \frac{330}{22}, t_{2} = \frac{330}{22}

Alternative Form

t_{1} \approx - 0.825723, t_{2} \approx 0.825723

Evaluate

15 - t^{2} \times 22

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

15 - t^{2} \times 22 = 0

Use the commutative property to reorder the terms

15 - 22 t^{2} = 0

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

- 22 t^{2} = 0 - 15

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

- 22 t^{2} = - 15

Change the signs on both sides of the equation

22 t^{2} = 15

Divide both sides

\frac{22 t ^{2}}{22} = \frac{15}{22}

Divide the numbers

t^{2} = \frac{15}{22}

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

t = \pm \frac{15}{22}

Simplify the expression

More Steps

Evaluate

\frac{15}{22}

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

\frac{15}{22}

Multiply by the Conjugate

\frac{15 \times 22}{22 \times 22}

Multiply the numbers

More Steps

Evaluate

15 \times 22

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

15 \times 22

Calculate the product

330

\frac{330}{22 \times 22}

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

\frac{330}{22}

t = \pm \frac{330}{22}

Separate the equation into 2 possible cases

t = \frac{330}{22} t = - \frac{330}{22}

Solution

t_{1} = - \frac{330}{22}, t_{2} = \frac{330}{22}

Alternative Form

t_{1} \approx - 0.825723, t_{2} \approx 0.825723

Show Solution