Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorization method
3(p2 – 6) = p(p + 5)
उत्तर
3p2 – 18 = p2 + 5p
2p2 – 5p – 18 = 0
2p2 – 9p + 4p – 18 = 0
p(2p – 9) + 2(2p – 9) = 0
(2p – 9)(p + 2) = 0
2p – 9 = 0 or p + 2 = 0
The roots are p = `(9)/(2), -2`
APPEARS IN
संबंधित प्रश्न
Determine the quadratic equation, whose sum and product of roots are `5/3, 4`
Solve the following quadratic equation by factorization method
`sqrt("a"("a" - 7)) = 3sqrt(2)`
Solve the following quadratic equation by factorization method
`2x^2 - x + 1/8` = 0
The number of volleyball games that must be scheduled in a league with n teams is given by G(n) = `("n"^2 - "n")/2` where each team plays with every other team exactly once. A league schedules 15 games. How many teams are in the league?
Solve the following quadratic equation by formula method
`sqrt(2)"f"^2 - 6"f" + 3sqrt(2)` = 0
Solve the following quadratic equation by formula method
3y2 – 20y – 23 = 0
Determine the nature of the roots for the following quadratic equation
`sqrt(2)"t"^2 - 3"t" + 3sqrt(2)` = 0
If the roots of the equation (c2 – ab)x2 – 2(a2 – bc)x + b2 – ac = 0 are real and equal prove that either a = 0 (or) a3 + b3 + c3 = 3abc
`x/(x^2 - 25) - 8/(x^2 + 6x + 5)` gives
The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is