Advertisements
Advertisements
प्रश्न
Discuss the nature of the roots of the following equation: `sqrt(3)x^2 - 2x - sqrt(3)` = 0
उत्तर
`sqrt(3)x^2 - 2x - sqrt(3)` = 0
Here `a = sqrt(3), b = -2, c = -sqrt(3)`
∴ D = b2 - 4ac
= `(-2)^2 - 4 xx sqrt(3) xx (-sqrt(3))`
= 4 + 12
= 16
∵ D > 0
∴ Roots are real and distinct.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation using formula method only
4x2 + 12x + 9 = 0
Solve the following quadratic equation using formula method only
x2 - 4x - 1 = 0
Solve the following quadratic equation using formula method only
`"x"^2 - 4 sqrt 15 "x" - 4 = 0`
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
3x2 – 5x + 2 = 0
Without solving the following quadratic equation, find the value of 'm' for which the given equation has real and equal roots.
x2 + 2(m – 1)x + (m + 5) = 0
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – 5x + 6 = 0; 2, – 3
The quadratic equation whose roots are 1:
If the difference of the roots of the equation x2 – bx + c = 0 is 1, then:
If α + β = 4 and α3 + β3 = 44, then α, β are the roots of the equation:
If the equation x2 – (2 + m)x + (–m2 – 4m – 4) = 0 has coincident roots, then:
