Solve the equation using square roots. 7x2 + 6 = 13

Move all terms not containing xx to the right side of the equation.

Since 66 does not contain the variable to solve for, move it to the right side of the equation by subtracting 66 from both sides. 7 x2 = - 6+13 7 x2 = - 6+13 Add - 6 - 6 and 1313 to get 77. 7 x2 = 7 7 x2 = 7 Divide each term by 77 and simplify.

Divide each term in 7 x2 = 7 7 x2 = 7 by 77. 7 x2 7 = 77 7 x2 7 = 77 Reduce the expression by cancelling the common factors.

x2 = 77 x2 = 77 Divide 77 by 77 to get 11. x2 = 1 x2 = 1 Take the square square root of both sides of the equation equation to eliminate the exponent on the left side. x=± √1 x=±1 The complete solution is the result of both the positive and negative portions of the solution.

Any root of 11 is 11. x=±1 x=±1 The complete solution is the result of both the positive and negative portions of the solution.

x=1, - 1