Advertisements
Advertisements
Question
Determine the nature of the roots of the following quadratic equation :
x2 -5x+ 7= 0
Advertisements
Solution
x2 -5x+ 7= 0
b2 - 4ac
= (-5)2 - 4(1)(7)
= 25 - 28
= -3
Since discriminant is negative, hence the roots are imaginary.
APPEARS IN
RELATED QUESTIONS
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Determine the nature of the roots of the following quadratic equation:
2(a2 + b2)x2 + 2(a + b)x + 1 = 0
Find the positive value(s) of k for which quadratic equations x2 + kx + 64 = 0 and x2 – 8x + k = 0 both will have real roots ?
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
3x2 + 2x - 1 = 0
Without solving the following quadratic equation, find the value of ‘p’ for which the given equations have real and equal roots: x2 + (p – 3)x + p = 0.
Find the value (s) of k for which each of the following quadratic equation has equal roots : (k – 4) x2 + 2(k – 4) x + 4 = 0
If the roots of ax2 + bx + c = 0 are in the ratio m : n, then:
Find the roots of the quadratic equation by using the quadratic formula in the following:
–3x2 + 5x + 12 = 0
Solve for x: 9x2 – 6px + (p2 – q2) = 0
Find the value of k for which the roots of the quadratic equation 5x2 – 10x + k = 0 are real and equal.
