Use the discriminant to determine the number of real roots the equation has.

Question

7x2 + 3x + 1 =0

A. One real root (a double root)

B. Two distinct real roots

C. Three real roots

D. None (two imaginary roots)

Answer 1

Formula for discriminant:
d = b^2 - 4ac
note that if
d = 0 : real, equal/double root
d < 1 : imaginary roots
d > 1 : real, unequal roots

7x2 + 3x + 1 = 0
d = 3^2 - 4(7)(1)
d = 9 - 28
d = -19
Thus, it's D. imaginary roots.

Hope this helps~ :3

Answer 2

thank u