Question

9+x^2=36 Квадратное уровнение

Answer 1

$9+x^2=36$

$9+x^2-36=0$

$x^2-27=0$

$(x-\sqrt{27})(x+\sqrt{27})=0$

$x-\sqrt{27}=0 \ \ \ \ \ x+\sqrt{27}=0$

$x=3\sqrt3\ \ \ \ \ \ \ \ x=-3\sqrt3$

Ответ:

-3√3; 3√3

Answer 2

To solve the quadratic equation 9 + x^2 = 36, we first need to isolate the term containing the variable on one side of the equation. Then, we can apply the quadratic formula or factorization to find the solutions. Let's go through the steps:

Step 1: Move the constant term to the other side of the equation: x^2 = 36 - 9

Step 2: Simplify the right side of the equation: x^2 = 27

Step 3: Take the square root of both sides to solve for x: x = ±√27

Step 4: Simplify the square root of 27: x = ±√(9 * 3)

Step 5: Split the square root: x = ±√9 * √3

Step 6: Simplify the square root of 9: x = ±3 * √3

So, the solutions to the quadratic equation 9 + x^2 = 36 are: x = 3√3 (approximately 5.196) and x = -3√3 (approximately -5.196).