Question

√x^2+6x=4 ----------------

Answer 1

Решение на фото......................

Answer 2

To solve the equation √(x^2 + 6x) = 4, follow these steps:

Step 1: Square both sides of the equation to eliminate the square root: (x^2 + 6x) = 4^2 x^2 + 6x = 16

Step 2: Move all terms to one side of the equation to set it equal to zero: x^2 + 6x - 16 = 0

Now we have a quadratic equation in standard form: ax^2 + bx + c = 0, where a = 1, b = 6, and c = -16.

Step 3: Solve the quadratic equation using factoring, the quadratic formula, or completing the square. In this case, I'll use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a

Substitute the values of a, b, and c into the formula: x = (-6 ± √(6^2 - 4 * 1 * -16)) / (2 * 1) x = (-6 ± √(36 + 64)) / 2 x = (-6 ± √100) / 2 x = (-6 ± 10) / 2

So, the solutions for x are: x = (-6 + 10) / 2 = 4 / 2 = 2 x = (-6 - 10) / 2 = -16 / 2 = -8

Therefore, the solutions to the equation √(x^2 + 6x) = 4 are x = 2 and x = -8.