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 the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.
Solve the following equation:
`x - 18/x = 6` Give your answer correct to two significant figures.
Solve the following quadratic equation using formula method only
`5/4 "x"^2 - 2 sqrt 5 "x" + 4 = 0`
If one root of the equation 2x² – px + 4 = 0 is 2, find the other root. Also find the value of p.
Solve the following by reducing them to quadratic equations:
z4 - 10z2 + 9 = 0.
Find the discriminant of the following equations and hence find the nature of roots: 7x2 + 8x + 2 = 0
Discuss the nature of the roots of the following quadratic equations : -2x2 + x + 1 = 0
The quadratic equation whose one rational root is `3 + sqrt2` is
Find whether the following equation have real roots. If real roots exist, find them.
8x2 + 2x – 3 = 0
The value of 'a' for which the sum of the squares of the roots of 2x2 – 2(a – 2)x – a – 1 = 0 is least is ______.
