Question

10x в квадрате-x-60=0

Answer 1

$10 {x}^{2} - x - 60 = 0$
${x}^{2} - 0.1x - 6 = 0$
$x + y = - 0.1 \\ xy = - 6 \\ \\ x = - 2.4 \\ x = 2.5$
Ответ: -2,4; 2,5.

Answer 2

To solve the quadratic equation 10x^2 - x - 60 = 0, you can use the quadratic formula:

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

x = (-b ± √(b^2 - 4ac)) / 2a

In your equation, a = 10, b = -1, and c = -60. Plugging these values into the quadratic formula:

x = (1 ± √((-1)^2 - 4 * 10 * -60)) / (2 * 10)

x = (1 ± √(1 + 2400)) / 20

x = (1 ± √(2401)) / 20

Now, √(2401) is 49 because 49 * 49 = 2401.

So, the solutions for x are:

x = (1 + 49) / 20 or x = (1 - 49) / 20

x = 50 / 20 or x = -48 / 20

Now, simplify the fractions:

x = 5/2 or x = -12/5

The two solutions to the equation are x = 5/2 and x = -12/5.