Question

5(x²+3)=-24x+20 дискриминант​

Answer 1

Ответ:

Смотри решение

Пошаговое объяснение:

1) Упрощаем:

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Answer 2

To find the discriminant of a quadratic equation in the form $ax^2 + bx + c = 0$, you can use the formula:

$\text{Discriminant} = b^2 - 4ac$

In the given equation $5(x^2 + 3) = -24x + 20$, first, expand and simplify it:

$5x^2 + 15 = -24x + 20$

Now, rewrite it in the standard form $ax^2 + bx + c = 0$:

$5x^2 + 24x - 5 = 0$

Now, you can identify $a = 5$, $b = 24$, and $c = -5$. Plug these values into the discriminant formula:

$\text{Discriminant} = 24^2 - 4(5)(-5)$ $= 576 + 100$ $= 676$

So, the discriminant of the quadratic equation $5x^2 + 24x - 5 = 0$ is $676$.