Question

– 5х(х – 3) + 5(х – 1)2 = – 20.

Answer 1

Ответ:

Объяснение:

-5*х^2+15*х+10*х-10+20=0

-5*х^2+25*х+10=0

х^2-5*х-2=0

D=25+8=33

X1=(5+√33) /2

X2=(5-√33) /2

Answer 2

To solve the equation, let's first simplify and then solve for the value of x step by step:

1. Simplify the equation: -5x(x - 3) + 5(x - 1)^2 = -20

2. Expand the squared term (x - 1)^2: -5x(x - 3) + 5(x - 1)(x - 1) = -20

3. Expand further: -5x(x - 3) + 5(x^2 - 2x + 1) = -20

4. Distribute the -5x and 5: -5x^2 + 15x + 5x^2 - 10x + 5 = -20

5. Combine like terms: (15x - 10x) + (-5x^2 + 5x^2) + 5 = -20

6. Simplify: 5x + 5 = -20

7. Isolate x by moving the constant term to the other side: 5x = -20 - 5

8. Simplify: 5x = -25

9. Divide by 5 to find the value of x: x = -25 / 5

10. Final result: x = -5

So, the solution to the equation is x = -5.