Solve (7x-11)(7x+11)

Question

Simplify the expression

49 x^{2} - 121

Evaluate

(7 x - 11) (7 x + 11)

Use (a - b) (a + b) = a^{2} - b^{2} to simplify the product

(7 x)^{2} - 1 1^{2}

Evaluate the power

More Steps

Evaluate

(7 x)^{2}

To raise a product to a power,raise each factor to that power

7^{2} x^{2}

Evaluate the power

49 x^{2}

49 x^{2} - 1 1^{2}

Solution

49 x^{2} - 121

Show Solution

x_{1} = - \frac{11}{7}, x_{2} = \frac{11}{7}

Alternative Form

x_{1} = - 1. \dot{5} 7142 \dot{8}, x_{2} = 1. \dot{5} 7142 \dot{8}

Evaluate

(7 x - 11) (7 x + 11)

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

(7 x - 11) (7 x + 11) = 0

Separate the equation into 2 possible cases

7 x - 11 = 0 7 x + 11 = 0

Solve the equation

More Steps

Evaluate

7 x - 11 = 0

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

7 x = 0 + 11

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

7 x = 11

Divide both sides

\frac{7 x}{7} = \frac{11}{7}

Divide the numbers

x = \frac{11}{7}

x = \frac{11}{7} 7 x + 11 = 0

Solve the equation

More Steps

Evaluate

7 x + 11 = 0

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

7 x = 0 - 11

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

7 x = - 11

Divide both sides

\frac{7 x}{7} = \frac{- 11}{7}

Divide the numbers

x = \frac{- 11}{7}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{11}{7}

x = \frac{11}{7} x = - \frac{11}{7}

Solution

x_{1} = - \frac{11}{7}, x_{2} = \frac{11}{7}

Alternative Form

x_{1} = - 1. \dot{5} 7142 \dot{8}, x_{2} = 1. \dot{5} 7142 \dot{8}

Show Solution