Question

4х^2+5х-6=0

Answer 1

4х^2+5х-6=0

D=25+96=121

x=(-5+-11):8

x=-2

x=0,75

Answer 2

To solve the equation 4x^2 + 5x - 6 = 0, we can use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 4, b = 5, and c = -6.

Substituting these values, we get:

x = (-5 ± sqrt(5^2 - 4(4)(-6))) / 2(4) x = (-5 ± sqrt(25 + 96)) / 8 x = (-5 ± sqrt(121)) / 8 x = (-5 ± 11) / 8

So the two solutions to the equation are:

x = (-5 + 11) / 8 = 3/4

and

x = (-5 - 11) / 8 = -4/3

Therefore, the solutions to the equation 4x^2 + 5x - 6 = 0 are x = 3/4 and x = -4/3.