Question

Найдите корни уравнения x`2-3x=18. Если корней несколько, запишите их через точку с запятой в порядке возростания

Answer 1

Ответ во вложениях...

Answer 2

Solving the Equation x^2 - 3x = 18

To find the roots of the equation x^2 - 3x = 18, we can use the quadratic formula, which states that for an equation in the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, the equation x^2 - 3x = 18 can be rewritten as x^2 - 3x - 18 = 0, where a = 1, b = -3, and c = -18.

Using the quadratic formula, we can calculate the roots of the equation.

Applying the Quadratic Formula

The quadratic formula gives us the roots of the equation as:

x = (-(-3) ± √((-3)^2 - 4*1*(-18))) / (2*1)

Solving this equation will give us the values of x.

Calculating the Roots

Using the quadratic formula, we get:

x = (3 ± √(9 + 72)) / 2 x = (3 ± √81) / 2 x = (3 ± 9) / 2

So, the roots of the equation x^2 - 3x = 18 are:

x = (3 + 9) / 2 = 12 / 2 = 6 x = (3 - 9) / 2 = -6 / 2 = -3

Therefore, the roots of the equation x^2 - 3x = 18 are x = -3, 6.