Solve c^2026-1-3 - ScanMath

Question

Simplify the expression

26 c^{2} - 4

Evaluate

c^{2} \times 26 - 1 - 3

Use the commutative property to reorder the terms

26 c^{2} - 1 - 3

Solution

26 c^{2} - 4

Show Solution

2 (13 c^{2} - 2)

Evaluate

c^{2} \times 26 - 1 - 3

Use the commutative property to reorder the terms

26 c^{2} - 1 - 3

Subtract the numbers

26 c^{2} - 4

Solution

2 (13 c^{2} - 2)

Show Solution

c_{1} = - \frac{26}{13}, c_{2} = \frac{26}{13}

Alternative Form

c_{1} \approx - 0.392232, c_{2} \approx 0.392232

Evaluate

c^{2} \times 26 - 1 - 3

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

c^{2} \times 26 - 1 - 3 = 0

Use the commutative property to reorder the terms

26 c^{2} - 1 - 3 = 0

Subtract the numbers

26 c^{2} - 4 = 0

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

26 c^{2} = 0 + 4

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

26 c^{2} = 4

Divide both sides

\frac{26 c ^{2}}{26} = \frac{4}{26}

Divide the numbers

c^{2} = \frac{4}{26}

Cancel out the common factor 2

c^{2} = \frac{2}{13}

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

c = \pm \frac{2}{13}

Simplify the expression

More Steps

Evaluate

\frac{2}{13}

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

\frac{2}{13}

Multiply by the Conjugate

\frac{2 \times 13}{13 \times 13}

Multiply the numbers

More Steps

Evaluate

2 \times 13

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

2 \times 13

Calculate the product

26

\frac{26}{13 \times 13}

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

\frac{26}{13}

c = \pm \frac{26}{13}

Separate the equation into 2 possible cases

c = \frac{26}{13} c = - \frac{26}{13}

Solution

c_{1} = - \frac{26}{13}, c_{2} = \frac{26}{13}

Alternative Form

c_{1} \approx - 0.392232, c_{2} \approx 0.392232

Show Solution