Question

Решить неравенство: (y-2)(y+3)-(y-2)^2>25

Answer 1

Ответ:

Объяснение:

(y-2)(y+3)-(y-2)²>25

(у²+3у-2у-6)-(у²-4у+4)>25

у²+3у-2у-6-у²+4у-4>25

5у <25+10

5y<35

y<7

Answer 2

To solve the inequality, let's first simplify the left-hand side:

Step 1: Expand the expressions. (y-2)(y+3) - (y-2)^2 > 25

Step 2: Expand (y-2)^2. (y-2)(y+3) - (y^2 - 4y + 4) > 25

Step 3: Distribute the terms. y^2 + 3y - 2y - 6 - y^2 + 4y - 4 > 25

Step 4: Combine like terms. 5y - 10 > 25

Step 5: Move constants to the right side. 5y > 25 + 10

Step 6: Simplify. 5y > 35

Step 7: Isolate y by dividing by 5 (since the coefficient of y is positive). y > 35 / 5

Step 8: Final result. y > 7

So, the solution to the inequality is y > 7.