Use the discriminant to determine the number of real roots for the quadratic equation. y = x2 – 10x + 25

Question

Use the discriminant to determine the number of real roots for the quadratic equation.  y = x2 – 10x + 25

muzzack · Answer

Problem Solving Using the Discriminant

jjuden · Answer

a)  one real root
b)  two real roots
c)  no real roots
d)  no solution to the equation

muzzack · Answer

ax^2 + bx + c = 0

muzzack · Answer

This equation can have two, one or zero solutions, depending on the values of a, b, and c. The problem corresponds to finding the x-intercepts of the graph of

y = ax^2 + bx + c (2)

If the graph of (2), which is a parabola, crosses the x-axis twice, there are two real solutions to equation (1); if the vertex is on the x-axis, there is one real solution; if the parabola does not cross the x-axis at all, there are no real solutions.

jaydenthequiet · Answer

b=10 a=1 c=25 $$d=b ^{2}-4(ac)$$