Question

Q17.. The quadratic equation 2x² - 2x + 1=0 has: *
1 point
Two distinct real roots
Two equal real roots
No real roots
More than two real roots​

Answer 1

HEY BUDDY HERE IS UR ANSWER ✌️✌️

ANSWER:

C. NO REAL ROOTS .

EXPLANATION:

(c) no real roots

The discriminant value of a quadratic equation ax2 + bx + c = 0, a ≠ 0 is given by,

D = b2 - 4ac = 0 i. If D = b2 - 4ac > 0,

then its roots are distinct and real.

ii. If D = b2 - 4ac = 0, then its roots are real and equal.

iii. If D = b2 - 4ac < 0, then its roots are imaginary.

Given, 2x2 – √5x + 1 = 0 ∴ D = b2 - 4ac = 0 = (-√5)2 - 4(2)(1) = -3 < 0 Hence, the roots of the quadratic equation 2x2 – √5x + 1 = 0 are imaginaY.

HAVE A NICE DAY

IF FOUND HELPFUL MARK AS BRAINLIST.

Answer 2

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.