Question

find the nature of the roots of the quadratic equation 2 x ² - 8 x + 5 =0​

Answer 1

Answer:

Real and distinct root

Step-by-step explanation:

b²-4ac =(-8)² - 4×2×5 =64 - 40 =24>0

Hence it have real and distinct root.(two real roots exists.)

Answer 2

Answer:

${x }^{2} - 8x + 5 \\ dicriminant = {b }^{2} - 4ac \\ = 64 - 4 \times 1 \times 5 \\ = 44 \\ which \: is \: greater \: then0 \\ so \: this \: eqation \: is \: discriminant \:$