Does the equation $6.356 x ^ { 2 } - 8.036 x + 1.688 = 0$ have any roots that are real numbers?

Question

Quizplus · Accepted Answer

We can use the discriminant to determine if the equation has real roots. The discriminant is given by $b ^ { 2 } - 4 a c$ where $a = 6.356$, $b = -8.036$, and $c = 1.688$. Plugging these values into the discriminant gives $(-8.036) ^ { 2 } - 4 (6.356) (1.688) = 44.943096$. Since the discriminant is positive, the equation has two real roots.

Does the Equation 6.356x2−8.036x+1.688=06.356 x ^ { 2 } - 8.036 x + 1.688 = 06.356x2−8.036x+1.688=0

Does the Equation $6.356 x ^ { 2 } - 8.036 x + 1.688 = 0$