Advertisements
Advertisements
Question
Solve the following quadratic equation using formula method only
`"x"^2 + 1/2 "x" - 1 = 0`
Advertisements
Solution
`"x"^2 + 1/2 "x" - 1 = 0`
2x2 + x - 2 = 0
a = 2 ; b = 1 ; c = -2
D =b2 - 4ac
= (1)2 - 4(2)(-2)
= 1 + 16
= 17
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-1 +- sqrt 17)/4`
x = `(-1 + sqrt 17)/4` , x = `(-1 - sqrt 17)/4`
APPEARS IN
RELATED QUESTIONS
Find the values of k for which the roots are real and equal in each of the following equation:
x2 - 2kx + 7k - 12 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
(k + 1)x2 - 2(3k + 1)x + 8k + 1 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
x2 - kx + 9 = 0
Determine whether the given values of x is the solution of the given quadratic equation below:
6x2 - x - 2 = 0; x = `(2)/(3), -1`.
Find the value of k for which the given equation has real roots:
kx2 - 6x - 2 = 0
Find the discriminant of the following equations and hence find the nature of roots: 3x2 + 2x - 1 = 0
Discuss the nature of the roots of the following equation: 3x2 – 7x + 8 = 0
Find the values of k so that the quadratic equation (4 – k) x2 + 2 (k + 2) x + (8k + 1) = 0 has equal roots.
If b2 – 4ac > 0 and b2 – 4ac < 0, then write the nature of roots of the quadratic equation for each given case.
The roots of quadratic equation x(x + 8) + 12 = 0 are ______.
