Advertisements
Advertisements
Question
Solve the following quadratic equation using formula method only
16x2 - 24x = 1
Solution
16x2 - 24x = 1
16x2 - 24x - 1 = 0
a = 16 ; b = -24 ; c = -1
D = b2 - 4ac
= (-24)2 - 4(16)(-1)
= 576 + 64
= 640
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(24 +- 8 sqrt 10)/32`
x = `(3 + sqrt 10)/4` , x = `(3 - sqrt 10)/4`
APPEARS IN
RELATED QUESTIONS
Find the least positive value of k for which the equation x2 + kx + 4 = 0 has real roots.
Determine the nature of the roots of the following quadratic equation :
x2 +3x+1=0
Solve the following quadratic equation using formula method only
5x2 - 19x + 17 = 0
Find the value of k for which equation 4x2 + 8x – k = 0 has real roots.
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 4x + 1 = 0
In each of the following, determine whether the given numbers are roots of the given equations or not; 3x2 – 13x – 10 = 0; 5, `(-2)/(3)`
If a is a root of the equation x2 – (a + b)x + k = 0, find the value of k.
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 4sqrt(3)x + 4` = 0
Find the value of k for which the roots of the quadratic equation 5x2 – 10x + k = 0 are real and equal.
If one root of equation (p – 3) x2 + x + p = 0 is 2, the value of p is ______.
