Solve a^2 11a-10 - ScanMath

Question

Simplify the expression

11 a^{3} - 10

Evaluate

a^{2} \times 11 a - 10

Solution

More Steps

Evaluate

a^{2} \times 11 a

Multiply the terms with the same base by adding their exponents

a^{2 + 1} \times 11

Add the numbers

a^{3} \times 11

Use the commutative property to reorder the terms

11 a^{3}

11 a^{3} - 10

Show Solution

a = \frac{3 1210}{11}

Alternative Form

a \approx 0.968729

Evaluate

a^{2} \times 11 a - 10

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

a^{2} \times 11 a - 10 = 0

Multiply

More Steps

Multiply the terms

a^{2} \times 11 a

Multiply the terms with the same base by adding their exponents

a^{2 + 1} \times 11

Add the numbers

a^{3} \times 11

Use the commutative property to reorder the terms

11 a^{3}

11 a^{3} - 10 = 0

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

11 a^{3} = 0 + 10

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

11 a^{3} = 10

Divide both sides

\frac{11 a ^{3}}{11} = \frac{10}{11}

Divide the numbers

a^{3} = \frac{10}{11}

Take the 3 -th root on both sides of the equation

3 a^{3} = 3 \frac{10}{11}

Calculate

a = 3 \frac{10}{11}

Solution

More Steps

Evaluate

3 \frac{10}{11}

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

\frac{3 10}{3 11}

Multiply by the Conjugate

\frac{3 10 \times 3 1 1 ^{2}}{3 11 \times 3 1 1 ^{2}}

Simplify

\frac{3 10 \times 3 121}{3 11 \times 3 1 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

310 \times 3121

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

3 10 \times 121

Calculate the product

31210

\frac{3 1210}{3 11 \times 3 1 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

311 \times 3 1 1^{2}

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

3 11 \times 1 1^{2}

Calculate the product

3 1 1^{3}

Reduce the index of the radical and exponent with 3

11

\frac{3 1210}{11}

a = \frac{3 1210}{11}

Alternative Form

a \approx 0.968729

Show Solution