Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
`3"x"^2 +2 sqrt 5 "x" -5 = 0`
Advertisements
उत्तर
`3"x"^2 +2 sqrt 5 "x" -5 = 0`
a = 3 ; b = `2 sqrt 5` ; c= -5
D = b2 - 4ac
= `(2 sqrt 5)^2` - 4 (3)(-5)
= 20 + 60
= 80
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-(2 sqrt 5) +- sqrt 80)/6`
x = `(-(2 sqrt 5) +- 4 sqrt 5)/6`
x = `(-(2 sqrt 5) +- 4 sqrt 5)/6`
x = `(-2 sqrt 5 + 4 sqrt 5)/6` , x = `(-2 sqrt 5 - 4 sqrt 5)/6`
x = `sqrt 5 / 3` , x = `- sqrt 5`
APPEARS IN
संबंधित प्रश्न
Solve the quadratic equation 2x2 + ax − a2 = 0 for x.
Find the value of the discriminant in the following quadratic equation :
10 x - `1/x` = 3
Solve the following quadratic equation using formula method only
`3"x"^2 + 2 sqrt 5x - 5 = 0 `
Determine whether the given quadratic equations have equal roots and if so, find the roots:
x2 + 2x + 4 = 0
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 4sqrt(3)x + 4` = 0
Which of the following equations has no real roots?
Discuss the nature of the roots of the following equation: 3x2 – 7x + 8 = 0
If the one root of the equation 4x2 – 2x + p – 4 = 0 be the reciprocal of the other. The value of p is:
Find whether the following equation have real roots. If real roots exist, find them.
`x^2 + 5sqrt(5)x - 70 = 0`
If the quadratic equation ax2 + bx + c = 0 has two real and equal roots, then 'c' is equal to ______.
