Advertisements
Advertisements
Question
Solve the following quadratic equation using formula method only :
`2x + 5 sqrt 3x +6= 0 `
Advertisements
Solution
`2x + 5 sqrt 3x +6= 0 `
a = 2 ; b = `5 sqrt 3` ; c = 6
D = b2 - 4ac
D = `(5 sqrt 3)^2 - 4(2)(6)`
= 75 - 48
= 27
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-(5 sqrt 3) +- 3 sqrt 3)/4`
x = `(-(5 sqrt 3) + 3 sqrt 3)/4` , x = `(-(5 sqrt 3) - 3 sqrt 3)/4`
x = `(-2 sqrt 3)/4` , x = `(- 8 sqrt 3)/4`
x = `- sqrt 3/2` , x = `- 2 sqrt 3`
APPEARS IN
RELATED QUESTIONS
Find the value of k for which the following equation has equal roots.
x2 + 4kx + (k2 – k + 2) = 0
Determine the nature of the roots of the following quadratic equation:
2(a2 + b2)x2 + 2(a + b)x + 1 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
(k + 1)x2 - 2(k - 1)x + 1 = 0
Find the value of the discriminant in the following quadratic equation:
2x2 - 3x + 1 = O
Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).
Determine, if 3 is a root of the given equation
`sqrt(x^2 - 4x + 3) + sqrt(x^2 - 9) = sqrt(4x^2 - 14x + 16)`.
In each of the following, determine whether the given numbers are roots of the given equations or not; 6x2 – x – 2 = 0; `(-1)/(2), (2)/(3)`
Find the discriminant of the following equations and hence find the nature of roots: 2x2 + 15x + 30 = 0
If the roots of equation 3x2 + 2x + (p + 2) (p – 1) = 0 are of opposite sign then which of the following cannot be the value of p?
The roots of quadratic equation x(x + 8) + 12 = 0 are ______.
