Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
`sqrt 3 "x"^2 + 10 "x" - 8 sqrt 3 = 0`
Advertisements
उत्तर
`sqrt 3 "x"^2 + 10 "x" - 8 sqrt 3 = 0`
a = `sqrt 3` ; b = 10 ; c = `-8/sqrt 3`
D = b2 - 4ac
= `(10)^2 - 4 (sqrt 3) (-8 sqrt 3)`
= 100 + 96
= 196
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(- 10 +- sqrt 196)/(2 sqrt 3)`
x = `(-10 + 14)/(2 sqrt 3)` , x = `(-10 - 14)/(2 sqrt 3)`
x = `4/(2 sqrt 3)` , x = `24/(2 sqrt 3)`
x = `2/sqrt 3` , x = `-12/ sqrt 3`
APPEARS IN
संबंधित प्रश्न
Solve for x using the quadratic formula. Write your answer corrected to two significant figures. (x - 1)2 - 3x + 4 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
4x2 + kx + 9 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
3x2 + 2x + k = 0
If x = −2 is a root of the equation 3x2 + 7x + p = 1, find the values of p. Now find the value of k so that the roots of the equation x2 + k(4x + k − 1) + p = 0 are equal.
Determine the nature of the roots of the following quadratic equation :
x2 +3x+1=0
48x² – 13x -1 = 0
If – 5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x) + k = 0 has equal roots, find the value of k.
Which of the following equations has no real roots?
Mohan and Sohan solve an equation. In solving Mohan commits a mistake in constant term and finds the roots 8 and 2. Sohan commits a mistake in the coefficient of x. The correct roots are:
Equation (x + 1)2 – x2 = 0 has ____________ real root(s).
