Question

The discriminant of the equation x^2- 7x+2=0
is
(a) 47
(b) 40
(c) 41
(d) – 41​

Answer 1

AnsWer :

c ) 41.

SolutioN :

We have, Quadratic Equation.

→ x² - 7x + 2 = 0.

$\rule{90}2$

☯ Compare With General Equation.

→ ax² + bx + c = 0.

› Where as,

• a = 1.
• b = 7.
• c = 2.

✎ Now, We know.

→ D = b² -4ac.

› Where as,

• D Discriminate.

→ D = ( - 7 )² - 4 * 1 * 2.

→ D = 49 - 8.

→ D = 41.

✡ Therefore, the value of Discriminate is 41.

$\rule{200}3$

» Nature of Roots.

• Real roots → D > 0.
• Both roots → D = 0.
• Imaginary roots → D < 0.

Answer 2

Answer:correct ans is c) 41

Step-by-step explanation: D = b^2 -4ac

1. (7)^2 - 4 (1) (2)
2. 49 - 8
3. ans = 41