Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
x2 - 4x - 1 = 0
Advertisements
उत्तर
x2 - 4x - 1 = 0
a =1 ; b = -4 ; c =-1
D = b2 - 4ac
= (-4)2 - 4(1)(-1)
= 16 + 4
= 20
x =`(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(4 +- sqrt 20)/2`
x = `(4 +- 2sqrt 5)/2`
x = 2 + `sqrt 5` , x = 2 - `sqrt 5`
APPEARS IN
संबंधित प्रश्न
Find the least positive value of k for which the equation x2 + kx + 4 = 0 has real roots.
Find the value(s) of k so that the quadratic equation 3x2 − 2kx + 12 = 0 has equal roots ?
Solve the following quadratic equation using formula method only :
16x2 = 24x + 1
Find the value of m for which the equation (m + 4)x2 + (m + 1)x + 1 = 0 has real and equal roots.
Find the value of k for which equation 4x2 + 8x – k = 0 has real roots.
`sqrt(3)x^2 + 11x + 6sqrt(3)` = 0
Form the quadratic equation whose roots are:
`sqrt(3) and 3sqrt(3)`
Discuss the nature of the roots of the following quadratic equations : `x^2 - (1)/(2)x + 4` = 0
Find the nature of the roots of the following quadratic equations: `x^2 - 2sqrt(3)x - 1` = 0 If real roots exist, find them.
Solve for x: `5/2 x^2 + 2/5 = 1 - 2x`.
