Question

(5x+3)^2=5x+3 помогите срочно нужно буду очень благодарна

Answer 1

25х^2+30х+9=5х+3
25х^2+30х-5х=3-9
25х^2+25х=-6
25х^2+25х+6=0
D=b^2-4ac
D=25^2-4*25*6=625-4*25*6=625-600=25
X1= -25+5/2*25=-20/50=-2\5=-0,4
X2=-25-5/2*25=-30/50=-3/5=-0,6
Ответ: -0,4; -0,6

Answer 2

Короче, это будет набор слов, решение на фото.

Answer 3

Equation: The given equation is (5x+3)^2 = 5x+3.

Solution: To solve the equation, we can start by expanding the left-hand side and then simplifying the equation.

Expanding (5x+3)^2 gives us: (5x+3)^2 = (5x+3)(5x+3) = 25x^2 + 15x + 15x + 9 = 25x^2 + 30x + 9.

So, the equation becomes: 25x^2 + 30x + 9 = 5x + 3.

Subtracting 5x + 3 from both sides gives us: 25x^2 + 30x + 9 - 5x - 3 = 0, 25x^2 + 25x + 6 = 0.

Now, we have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 25, b = 25, and c = 6.

We can solve this quadratic equation using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).

Plugging in the values of a, b, and c, we get: x = (-25 ± √(25^2 - 4*25*6)) / (2*25), x = (-25 ± √(625 - 600)) / 50, x = (-25 ± √25) / 50, x = (-25 ± 5) / 50.

So, the solutions for x are: x = (-25 + 5) / 50 = -20 / 50 = -0.4, x = (-25 - 5) / 50 = -30 / 50 = -0.6.

Therefore, the solutions for the equation (5x+3)^2 = 5x+3 are x = -0.4 and x = -0.6.

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