Question

6-4х-х в квадрате =4+х

Answer 1

Відповідь:

Покрокове пояснення: 6-4x-x²=4+x

6-4x-x²-4-x=0

2-5x-x²=0

-x²-5x+2=0

x²+5x-2=0

x1= -5-√33÷2

x2= -5+√33÷2

Answer 2

To solve this equation, we can start by expanding the square on the left-hand side and then simplifying:

(6 - 4x - x)^2 = 4 + x (6 - 5x)^2 = 4 + x 36 - 60x + 25x^2 = 4 + x 25x^2 - 60x + 32 = 0

This is a quadratic equation, which we can solve using the quadratic formula:

x = (-(-60) ± sqrt((-60)^2 - 4(25)(32))) / (2(25)) x = (60 ± sqrt(3600 - 3200)) / 50 x = (60 ± sqrt(400)) / 50

There are two solutions:

x = (60 + 20) / 50 = 8/5 x = (60 - 20) / 50 = 8/25

Therefore, the solutions to the equation are x = 8/5 and x = 8/25.