Solve c^27052-25 - ScanMath

Question

Simplify the expression

7052 c^{2} - 25

Evaluate

c^{2} \times 7052 - 25

Solution

7052 c^{2} - 25

Show Solution

c_{1} = - \frac{5 1763}{3526}, c_{2} = \frac{5 1763}{3526}

Alternative Form

c_{1} \approx - 0.059541, c_{2} \approx 0.059541

Evaluate

c^{2} \times 7052 - 25

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

c^{2} \times 7052 - 25 = 0

Use the commutative property to reorder the terms

7052 c^{2} - 25 = 0

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

7052 c^{2} = 0 + 25

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

7052 c^{2} = 25

Divide both sides

\frac{7052 c ^{2}}{7052} = \frac{25}{7052}

Divide the numbers

c^{2} = \frac{25}{7052}

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

c = \pm \frac{25}{7052}

Simplify the expression

More Steps

Evaluate

\frac{25}{7052}

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

\frac{25}{7052}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{5}{7052}

Simplify the radical expression

More Steps

Evaluate

7052

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 1763

Write the number in exponential form with the base of 2

2^{2} \times 1763

The root of a product is equal to the product of the roots of each factor

2^{2} \times 1763

Reduce the index of the radical and exponent with 2

21763

\frac{5}{2 1763}

Multiply by the Conjugate

\frac{5 1763}{2 1763 \times 1763}

Multiply the numbers

More Steps

Evaluate

21763 \times 1763

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

2 \times 1763

Multiply the terms

3526

\frac{5 1763}{3526}

c = \pm \frac{5 1763}{3526}

Separate the equation into 2 possible cases

c = \frac{5 1763}{3526} c = - \frac{5 1763}{3526}

Solution

c_{1} = - \frac{5 1763}{3526}, c_{2} = \frac{5 1763}{3526}

Alternative Form

c_{1} \approx - 0.059541, c_{2} \approx 0.059541

Show Solution