Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
`3"x"^2 - 5"x" + 25/12 = 0 `
उत्तर
`3"x"^2 - 5"x" + 25/12 = 0 `
a = 3 ; b = -5 ; c = `25/12`
D = b2 - 4ac
= `(-5)^ 2 - 4(3)(25/12)`
= 25 - 25
= 0
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-(-5) +- 0)/6`
x = `5/6`
APPEARS IN
संबंधित प्रश्न
Is it possible to design a rectangular park of perimeter 80 and area 400 m2? If so find its length and breadth.
Solve for x :
x2 + 5x − (a2 + a − 6) = 0
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
If a = 1, b = 8 and c = 15, then find the value of `"b"^2 - 4"ac"`
Find the value(s) of k for which the pair of equations
kx + 2y = 3
3x + 6y = 10 has a unique solution.
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
Find the sum of the roots of the equation x2 – 8x + 2 = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x + 4)2 – 8x = 0
The nature of roots of the quadratic equation 9x2 – 6x – 2 = 0 is ______.
Find the value of ‘c’ for which the quadratic equation
(c + 1) x2 - 6(c + 1) x + 3(c + 9) = 0; c ≠ - 1
has real and equal roots.