Can this problem be solved?

The discriminant is -23

The equation has 0 real solution

Step-by-step explanation:

The discriminant of the quadratic equation ax² + b x + c = 0 is Δ = b² - 4ac

Let us use the rule above to solve the question

∵ x² - x + 6 = 0

∴ a = 1, b = -1 and c = 6

∵ Δ = b² - 4ac

∴ Δ = (-1)² - 4(1)(6)

∴ Δ = 1 - 24

∴ Δ = -23

∴ The discriminant is -23

∵ -23 < 0

∴ Δ < 0

∴ The equation has no real solutions

∴ The equation has 0 real solution

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it