Solve the equation using square roots. 7x^2+ 6 = 13
To solve the equation 7x^2 + 6 = 13 using square roots, we want to isolate the variable x. We can start by subtracting 6 from both sides:
7x^2 + 6 - 6 = 13 - 6
This simplifies to:
7x^2 = 7
Next, we divide both sides by 7 to solve for x:
7x^2/7 = 7/7
This simplifies to:
x^2 = 1
To eliminate the squared term, we can take the square root of both sides:
√(x^2) = √1
This gives us two possible solutions:
x = 1 or x = -1
Therefore, the equation 7x^2 + 6 = 13 has two solutions: x = 1 and x = -1.