Question

-3х^2-х+8=(х-3)^2 Решите,пожалуйста

Answer 1

Вот тебе решение смотри

Answer 2

Solving the Equation

To solve the equation -3x^2 - x + 8 = (x - 3)^2, we can start by expanding the right side of the equation:

(x - 3)^2 = x^2 - 6x + 9

Now, we can rewrite the equation as:

-3x^2 - x + 8 = x^2 - 6x + 9

To simplify the equation, let's move all the terms to one side:

-3x^2 - x + 8 - x^2 + 6x - 9 = 0

Combining like terms, we get:

-4x^2 + 5x - 1 = 0

Now, we have a quadratic equation. To solve it, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = -4, b = 5, and c = -1. Substituting these values into the quadratic formula, we get:

x = (-5 ± √(5^2 - 4(-4)(-1))) / (2(-4))

Simplifying further:

x = (-5 ± √(25 - 16)) / (-8)

x = (-5 ± √9) / (-8)

Taking the square root:

x = (-5 ± 3) / (-8)

This gives us two possible solutions:

x = (-5 + 3) / (-8) = -2 / -8 = 1/4

x = (-5 - 3) / (-8) = -8 / -8 = 1

Therefore, the solutions to the equation -3x^2 - x + 8 = (x - 3)^2 are x = 1/4 and x = 1.