Solve the following equation by using the square root property. Write all radicals in simplest form. $$ 7 x^{2}-56=0 $$

Question

UpStudy AI · Accepted Answer

To solve the equation 7x² – 56 = 0 using the square root property, follow these steps:

Step 1. Isolate the x²-term.
  Add 56 to both sides:
   7x² = 56
  Divide both sides by 7:
   x² = 8

Step 2. Apply the square root property.
  Take the square root of both sides:
   x = ±√8

Step 3. Simplify the radical.
  Write √8 as √(4×2) = √4 · √2 = 2√2

Thus, the solutions are:
  x = 2√2 or x = -2√2
The solutions are $$ x = 2\sqrt{2} $$ and $$ x = -2\sqrt{2} $$.

Solve the following equation by using the square root property. Write all radicals in simplest form. \( 7 x^{2}-56=0 \)