-7x^2+6x+3=0

A) one solution
B) two solutions
C) no solutions
D) infinitely many solutions

1 answer

To find out the number of solutions of the quadratic equation `-7x^2+6x+3=0`, we can use the discriminant formula:

`D = b^2 - 4ac`

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

Plugging in the values, we get:

`D = 6^2 - 4*(-7)*3 = 216`

Since the discriminant (D) is positive, we can conclude that there are two real solutions.

Therefore, the answer is (B) two solutions.