Question

(X-5)(c+8)-(x-7)(x+7)=0

Answer 1

Ответ:

x=-3

Пошаговое объяснение:

(X-5)(c+8)-(x-7)(x+7)=0

Ошибка :

вместо (c+8) ; (x+8)

Исправленный вид уравнения

(x-5)(x+8)-(x-7)(x+7)=0

x²+3x-40-(x²-49)=0

x²+3x-40-x²+49=0

3x+9=0

3x= -9

x=-3

Answer 2

To solve the given equation, we'll first expand and simplify the expressions, and then solve for the variable "x". Let's go step by step:

Given equation: (X - 5)(c + 8) - (x - 7)(x + 7) = 0

Step 1: Expand the expressions (X - 5)(c + 8) = X(c + 8) - 5(c + 8) = Xc + 8X - 5c - 40 (x - 7)(x + 7) = x^2 + 7x - 7x - 49 = x^2 - 49

Step 2: Substitute the expanded expressions back into the original equation (Xc + 8X - 5c - 40) - (x^2 - 49) = 0

Step 3: Combine like terms Xc + 8X - 5c - 40 - x^2 + 49 = 0

Step 4: Rearrange the terms and simplify x^2 + (Xc + 8X - 5c - 40 - 49) = 0 x^2 + Xc + 8X - 5c - 89 = 0

Now we have a quadratic equation in terms of "x": x^2 + (Xc + 8X - 5c - 89) = 0

Since this is a quadratic equation, we can solve for "x" using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 1, b = Xc + 8X - 5c - 89, and c = 0.

Substitute the values into the formula: x = (-(Xc + 8X - 5c - 89) ± √((Xc + 8X - 5c - 89)^2 - 4(1)(0))) / 2(1)

Simplify the expression further: x = (-Xc - 8X + 5c + 89 ± √(X^2c^2 + 64X^2 + 25c^2 + 792Xc - 1780X - 890c + 7921)) / 2

The two solutions for "x" are: x = (-Xc - 8X + 5c + 89 + √(X^2c^2 + 64X^2 + 25c^2 + 792Xc - 1780X - 890c + 7921)) / 2

x = (-Xc - 8X + 5c + 89 - √(X^2c^2 + 64X^2 + 25c^2 + 792Xc - 1780X - 890c + 7921)) / 2

These are the solutions for the equation (X - 5)(c + 8) - (x - 7)(x + 7) = 0 in terms of "x".