Determine the nature of the roots of the quadratic equation without solving it. $8 x ^ { 2 } - 7 x + 3 = 0$
A) two irrational roots
B) one rational root
C) two rational roots
D) two imaginary roots

Question

Determine the nature of the roots of the quadratic equation without solving it. $8 x ^ { 2 } - 7 x + 3 = 0$
A) two irrational roots
B) one rational root
C) two rational roots
D) two imaginary roots

Quizplus · Accepted Answer

The discriminant of the quadratic equation $b^2 - 4ac$ is negative ($(-7)^2 - 4 \times 8 \times 3 = 49 - 96 = -47$), indicating two imaginary roots.

Determine the Nature of the Roots of the Quadratic Equation 8x2−7x+3=08 x ^ { 2 } - 7 x + 3 = 08x2−7x+3=0

Determine the Nature of the Roots of the Quadratic Equation $8 x ^ { 2 } - 7 x + 3 = 0$