Question

4r^2-9r+5=0
How many real solutions does the equation have
no real solutions
one real solution
two real solutions

Answer 1

The equation 4r^2-9r+5=0 cannot be factored easily, so we can use the discriminant to determine the number of real solutions. The discriminant is given by b^2-4ac, where a=4, b=-9, and c=5 in this case.

The discriminant is calculated as (-9)^2 - 4(4)(5) = 81 - 80 = 1.

Since the discriminant is positive, the equation has two distinct real solutions.