Question

Люди помогите! Не могу решить уравнение (х2-3)/2-4х=-5 хоть стреляй.

Answer 1

Ответ:

х=7/18 .....................

Answer 2

(x2-3) / 2-4x = -5

x2-3 = -5*(2-4x)

x2-3 = -10+20x

x2-3+10-20x = 0

x2-20x+7=0

D = b2-4ac = 400-4*1*7 = 400-28 = 372 = 2 (под корень 93)

x1,2=20+-2 (под корень 93) / 2 = 10+-(под корень 93)

Answer 3

Solving the Equation

To solve the equation (x^2-3)/2-4x=-5, we can follow these steps:

1. First, let's simplify the left-hand side of the equation by combining like terms and solving for x.

We have: (x^2-3)/2-4x=-5

Multiplying both sides by 2 to clear the fraction gives: x^2 - 3 - 8x = -10

Rearranging the terms gives: x^2 - 8x - 3 + 10 = 0

Simplifying further gives: x^2 - 8x + 7 = 0

2. Now, we can solve for x using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a), where a = 1, b = -8, and c = 7.

Plugging these values into the quadratic formula gives us the solutions for x.

The solutions are: x = (8 ± √(64 - 28)) / 2

Therefore, x = (8 ± √36) / 2

This simplifies to: x = (8 ± 6) / 2

So, the two solutions for x are: x = 7 and x = 1.

Conclusion

The solutions to the equation (x^2-3)/2-4x=-5 are x = 7 and x = 1.