PLEASE HELP WILL FAN AND MEDAL

Which are The rational roots for f(x)=5x^2-3x+3
A +/-1
B +/-3
C +/-1/3
D +/-5
E +/-1/5

Question

PLEASE HELP WILL FAN AND MEDAL

Which are The rational roots for f(x)=5x^2-3x+3
A +/-1
B +/-3
C +/-1/3
D +/-5
E +/-1/5

anonymous · Answer

Choose all correct answers

noelgreco · Answer

Just by seeing that the discriminant is < 0 it is apparent that there are no real solutions.

All of the solutions you propose are real.

anonymous · Answer

As NoelGreco said, there are no real solutions to that equation, so none of those options are correct.

a = 5
b = -3
c = 3, so if you were to plug a,b,c into the quadratic formula it wouldn't work because the discriminant (the b^2 - 4ac in the quadratic formula: what is under the root sign) cannot be negative... since you can't take the square root of a negative number and get a real solution.

b^2 - 4ac = = (-3)^2 - 4(5)(3) = 9 - 60 = (-)

The discrimant is negative in this case so there are no real solutions.