Advertisements
Advertisements
प्रश्न
Determine the nature of the roots for the following quadratic equation
`9y^2 - 6sqrt(2)y + 2` = 0
उत्तर
Here a = 9, b = `-6sqrt(2)`, c = 2
∆ = b2 – 4ac
= `(-6 sqrt(2))^2 - 4(9) (2)`
= 72 – 72
= 0
So the equation will have real and equal roots.
APPEARS IN
संबंधित प्रश्न
Find the sum and product of the roots for the following quadratic equation
`3 + 1/"a" = 10/"a"^2`
Solve the following quadratic equation by factorization method
`sqrt("a"("a" - 7)) = 3sqrt(2)`
Solve the following quadratic equation by factorization method
`sqrt(2)x^2 + 7x + 5sqrt(2)` = 0
Solve the following quadratic equation by formula method
2x2 – 5x + 2 = 0
A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present ages.
A pole has to be erected at a point on the boundary of a circular ground of diameter 20 m in such a way that the difference of its distances from two diametrically opposite fixed gates P and Q on the boundary is 4 m. Is it possible to do so? If answer is yes at what distance from the two gates should the pole be erected?
If a, b are real then show that the roots of the equation (a – b)x2 – 6(a + b)x – 9(a – b) = 0 are real and unequal
Write the following expression in terms of α + β and αβ
`(alpha + 3)/beta + (beta + 3)/alpha`
The roots of the equation 2x2 – 7x + 5 = 0 are α and β. Without solving for the roots, find `(alpha + 2)/(beta + 2) + (beta + 2)/(alpha + 2)`
`x/(x^2 - 25) - 8/(x^2 + 6x + 5)` gives