Question

2x в квадрате +x-3=0

Answer 1

2x^2+x-3=0
D=1+24=25=5^2
X1= -1+5/4=1
X2=-1-5/4= -1.5

Answer 2

To solve the quadratic equation 2x² + x - 3 = 0, you can use the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation:

a = 2, b = 1, c = -3

Plugging in these values, you get:

x = (-1 ± sqrt(1² - 4(2)(-3))) / 2(2) x = (-1 ± sqrt(1 + 24)) / 4 x = (-1 ± sqrt(25)) / 4

So there are two solutions:

x = (-1 + 5) / 4 = 1 x = (-1 - 5) / 4 = -3/2

Therefore, the solutions to the quadratic equation 2x² + x - 3 = 0 are x = 1 and x = -3/2.