Solve f^650-425-202

Question

Simplify the expression

50 f^{6} - 627

Evaluate

f^{6} \times 50 - 425 - 202

Use the commutative property to reorder the terms

50 f^{6} - 425 - 202

Solution

50 f^{6} - 627

Show Solution

f_{1} = - \frac{6 627 \times 5 0 ^{5}}{50}, f_{2} = \frac{6 627 \times 5 0 ^{5}}{50}

Alternative Form

f_{1} \approx - 1.524227, f_{2} \approx 1.524227

Evaluate

f^{6} \times 50 - 425 - 202

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

f^{6} \times 50 - 425 - 202 = 0

Use the commutative property to reorder the terms

50 f^{6} - 425 - 202 = 0

Subtract the numbers

50 f^{6} - 627 = 0

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

50 f^{6} = 0 + 627

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

50 f^{6} = 627

Divide both sides

\frac{50 f ^{6}}{50} = \frac{627}{50}

Divide the numbers

f^{6} = \frac{627}{50}

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

f = \pm 6 \frac{627}{50}

Simplify the expression

More Steps

Evaluate

6 \frac{627}{50}

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

\frac{6 627}{6 50}

Multiply by the Conjugate

\frac{6 627 \times 6 5 0 ^{5}}{6 50 \times 6 5 0 ^{5}}

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

\frac{6 627 \times 5 0 ^{5}}{6 50 \times 6 5 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

650 \times 6 5 0^{5}

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

6 50 \times 5 0^{5}

Calculate the product

6 5 0^{6}

Reduce the index of the radical and exponent with 6

50

\frac{6 627 \times 5 0 ^{5}}{50}

f = \pm \frac{6 627 \times 5 0 ^{5}}{50}

Separate the equation into 2 possible cases

f = \frac{6 627 \times 5 0 ^{5}}{50} f = - \frac{6 627 \times 5 0 ^{5}}{50}

Solution

f_{1} = - \frac{6 627 \times 5 0 ^{5}}{50}, f_{2} = \frac{6 627 \times 5 0 ^{5}}{50}

Alternative Form

f_{1} \approx - 1.524227, f_{2} \approx 1.524227

Show Solution