Solve 9q^4q-8q - ScanMath

Question

Simplify the expression

9 q^{5} - 8 q

Evaluate

9 q^{4} \times q - 8 q

Solution

More Steps

Evaluate

9 q^{4} \times q

Multiply the terms with the same base by adding their exponents

9 q^{4 + 1}

Add the numbers

9 q^{5}

9 q^{5} - 8 q

Show Solution

q (9 q^{4} - 8)

Evaluate

9 q^{4} \times q - 8 q

Multiply

More Steps

Evaluate

9 q^{4} \times q

Multiply the terms with the same base by adding their exponents

9 q^{4 + 1}

Add the numbers

9 q^{5}

9 q^{5} - 8 q

Rewrite the expression

q \times 9 q^{4} - q \times 8

Solution

q (9 q^{4} - 8)

Show Solution

q_{1} = - \frac{4 72}{3}, q_{2} = 0, q_{3} = \frac{4 72}{3}

Alternative Form

q_{1} \approx - 0.970984, q_{2} = 0, q_{3} \approx 0.970984

Evaluate

9 q^{4} \times q - 8 q

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

9 q^{4} \times q - 8 q = 0

Multiply

More Steps

Multiply the terms

9 q^{4} \times q

Multiply the terms with the same base by adding their exponents

9 q^{4 + 1}

Add the numbers

9 q^{5}

9 q^{5} - 8 q = 0

Factor the expression

q (9 q^{4} - 8) = 0

Separate the equation into 2 possible cases

q = 0 9 q^{4} - 8 = 0

Solve the equation

More Steps

Evaluate

9 q^{4} - 8 = 0

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

9 q^{4} = 0 + 8

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

9 q^{4} = 8

Divide both sides

\frac{9 q ^{4}}{9} = \frac{8}{9}

Divide the numbers

q^{4} = \frac{8}{9}

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

q = \pm 4 \frac{8}{9}

Simplify the expression

More Steps

Evaluate

4 \frac{8}{9}

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

\frac{4 8}{4 9}

Simplify the radical expression

\frac{4 8}{3}

Multiply by the Conjugate

\frac{4 8 \times 3}{3 \times 3}

Multiply the numbers

\frac{4 72}{3 \times 3}

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

\frac{4 72}{3}

q = \pm \frac{4 72}{3}

Separate the equation into 2 possible cases

q = \frac{4 72}{3} q = - \frac{4 72}{3}

q = 0 q = \frac{4 72}{3} q = - \frac{4 72}{3}

Solution

q_{1} = - \frac{4 72}{3}, q_{2} = 0, q_{3} = \frac{4 72}{3}

Alternative Form

q_{1} \approx - 0.970984, q_{2} = 0, q_{3} \approx 0.970984

Show Solution