Solve 4190-1f^27 - ScanMath

Question

Simplify the expression

4190 - 7 f^{2}

Evaluate

4190 - 1 \times f^{2} \times 7

Solution

More Steps

Evaluate

1 \times f^{2} \times 7

Rewrite the expression

f^{2} \times 7

Use the commutative property to reorder the terms

7 f^{2}

4190 - 7 f^{2}

Show Solution

f_{1} = - \frac{29330}{7}, f_{2} = \frac{29330}{7}

Alternative Form

f_{1} \approx - 24.465719, f_{2} \approx 24.465719

Evaluate

4190 - 1 \times f^{2} \times 7

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

4190 - 1 \times f^{2} \times 7 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times f^{2} \times 7

Rewrite the expression

f^{2} \times 7

Use the commutative property to reorder the terms

7 f^{2}

4190 - 7 f^{2} = 0

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

- 7 f^{2} = 0 - 4190

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

- 7 f^{2} = - 4190

Change the signs on both sides of the equation

7 f^{2} = 4190

Divide both sides

\frac{7 f ^{2}}{7} = \frac{4190}{7}

Divide the numbers

f^{2} = \frac{4190}{7}

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

f = \pm \frac{4190}{7}

Simplify the expression

More Steps

Evaluate

\frac{4190}{7}

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

\frac{4190}{7}

Multiply by the Conjugate

\frac{4190 \times 7}{7 \times 7}

Multiply the numbers

More Steps

Evaluate

4190 \times 7

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

4190 \times 7

Calculate the product

29330

\frac{29330}{7 \times 7}

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

\frac{29330}{7}

f = \pm \frac{29330}{7}

Separate the equation into 2 possible cases

f = \frac{29330}{7} f = - \frac{29330}{7}

Solution

f_{1} = - \frac{29330}{7}, f_{2} = \frac{29330}{7}

Alternative Form

f_{1} \approx - 24.465719, f_{2} \approx 24.465719

Show Solution