Question

Решить уравнение (x+9)^2-(x-5)(x-5)=79

Answer 1

2x+18-x^2+10x-25=79

x^2+12x=79+25-18

x^2+12x-86=0

D=144-344=-200

Ответ.Пустое множество

Answer 2

To solve the equation $(x+9)^2 - (x-5)(x-5) = 79$, we'll start by expanding the expressions and then simplify the equation.

Step 1: Expand the expressions. $(x+9)^2 = (x+9)(x+9) = x^2 + 18x + 81$ $(x-5)(x-5) = (x-5)^2 = (x-5)(x-5) = x^2 - 10x + 25$

Step 2: Substitute the expanded expressions back into the equation. $x^2 + 18x + 81 - (x^2 - 10x + 25) = 79$

Step 3: Simplify the equation. $x^2 + 18x + 81 - x^2 + 10x - 25 = 79$

Now, combine like terms: $x^2 - x^2 + 18x + 10x + 81 - 25 = 79$

$28x + 56 = 79$

Step 4: Isolate the variable. $28x = 79 - 56$

$28x = 23$

Step 5: Solve for x. $x = \frac{23}{28}$

So, the solution to the equation is $x = \frac{23}{28}$.