Question

1) 10-(7-4x-x²)=x²+8x-9;2) (5x²-3)-(2x+5)=5x².​

Answer 1

Ответ:

1)3

2)-4

Объяснение:

1) 10-(7-4x-x²)=x²+8x-9

10-7+4x+x²=x²+8x-9

x²-x²+4x-8x=-9+7-10

-4x=-12 |:(-4)

x=3

Ответ:3

2)(5x²-3)-(2x+5)=5x²

5x²-3-2x-5=5x²

5x²-5x²-2x=5+3

-2x=8 |:(-2)

x=-4

Ответ:-4

Answer 2

1) Let's solve the equation step by step:

Given equation: 1) 10 - (7 - 4x - x²) = x² + 8x - 9

First, let's simplify the equation by removing the parentheses:

10 - (7 - 4x - x²) = x² + 8x - 9 10 - 7 + 4x + x² = x² + 8x - 9

Combine like terms:

3 + 4x + x² = x² + 8x - 9

Now, let's bring all the terms to one side of the equation:

3 + 4x + x² - x² - 8x + 9 = 0

Simplify further:

12 - 4x = 0

To solve for x, we need to isolate x on one side of the equation. Let's move the constant term to the other side:

-4x = -12

Divide both sides by -4 to solve for x:

x = -12 / -4

Simplifying:

x = 3

So the solution to the equation 1) 10 - (7 - 4x - x²) = x² + 8x - 9 is x = 3.

2) Now let's solve the second equation:

Given equation: 2) (5x² - 3) - (2x + 5) = 5x²

First, let's simplify the equation by removing the parentheses:

(5x² - 3) - (2x + 5) = 5x² 5x² - 3 - 2x - 5 = 5x²

Combine like terms:

5x² - 2x - 8 = 5x²

Now, let's bring all the terms to one side of the equation:

5x² - 5x² - 2x - 8 = 0

Simplify further:

-2x - 8 = 0

To solve for x, we need to isolate x on one side of the equation. Let's move the constant term to the other side:

-2x = 8

Divide both sides by -2 to solve for x:

x = 8 / -2

Simplifying:

x = -4

So the solution to the equation 2) (5x² - 3) - (2x + 5) = 5x² is x = -4.

Please let me know if you need further assistance!