Theory of Equations Test

Result

Theory of Equations Test - 4

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The number of real roots of the equation (x – 1)² + (x – 2)² + (x – 3)² = 0 is

A
1

B
2

C
3

D
none of these

Solution

The equation has no real root because its LHS is always positive, while its RHS is zero.
Question 2
1 / -0

For what value of m will the equation

(m + 1) x² + 2 (m + 3) x + m + 8 = 0 have equal roots?

A
-1/2

B
1/3

C
- 2

D
½

Solution

For equal roots D = 0 or b² - 4ac = 0
4 (m + 3)² - 4 (m + 1) (m + 8) = 0
Solving we get m = 1/3