Question

X2+18X-63=0 решения уравнения

Answer 1

Ответ:

x = 3, -21

Объяснение:

x2 + 18x - 63 = 0

x² + 18x - 63 = 0

(x - 3) (x + 21) = 0

x = 3

x = -21

Ответ: x = 3, -21

Answer 2

To find the solutions of the quadratic equation $X^2 + 18X - 63 = 0$, we can use the quadratic formula:

The quadratic formula states that for an equation of the form $ax^2 + bx + c = 0$, the solutions $x$ are given by:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In this case, $a = 1$, $b = 18$, and $c = -63$. Now we can plug these values into the quadratic formula:

$x = \frac{-18 \pm \sqrt{18^2 - 4 \cdot 1 \cdot (-63)}}{2 \cdot 1}$

$x = \frac{-18 \pm \sqrt{324 + 252}}{2}$

$x = \frac{-18 \pm \sqrt{576}}{2}$

$x = \frac{-18 \pm 24}{2}$

Now we get two possible solutions for $x$:

1. When using the plus sign:

$x = \frac{-18 + 24}{2} = \frac{6}{2} = 3$

2. When using the minus sign:

$x = \frac{-18 - 24}{2} = \frac{-42}{2} = -21$

So, the solutions to the equation $X^2 + 18X - 63 = 0$ are $x = 3$ and $x = -21$.