Advertisements
Advertisements
प्रश्न
Solve `x^2 - 11/4 x + 15/8 = 0`
उत्तर
`x^2 - 11/4 x + 15/8 = 0`
`=> (8x^2 - 22x + 15)/8 = 0`
`=> 8x^2 - 22x + 15 = 0`
`=> 8x^2 - 12x - 10x + 15 = 0`
`=> 4x(2x - 3) - 5(2x - 3) = 0`
`=> (2x - 3)(4x - 5) = 0`
`=> 2x - 3 =0 or 4x - 5 = 0`
`=> x = 3/2 or x = 5/4`
APPEARS IN
संबंधित प्रश्न
In the following, determine whether the given values are solutions of the given equation or not:
2x2 - x + 9 = x2 + 4x + 3, x = 2, x =3
An Aero plane travelled a distance of 400 km at an average speed of x km/hr. On the return journey, the speed was increased by 40 km/hr. Write down an expression for the time taken for:
(1) the onward journey;
(2) the return journey.
If the return journey took 30 minutes less than the onward journey, write down an equation in x and find its value.
Without solving, comment upon the nature of roots of the following equation:
7x2 – 9x + 2 = 0
The length of a hall is 5 m more than the breadth. If the area of the floor of the hall is 84m2, find the length and breadth of the hall.
Find which of the following equations are quadratic:
7x3 – 2x2 + 10 = (2x – 5)2
Solve equation using factorisation method:
x2 – 16 = 0
Solve:
`x/3 + 3/(6 - x) = (2(6 +x))/15; (x ≠ 6)`
Find the value of x, if a + 1 = 0 and x2 + ax – 6 = 0.
If p – 15 = 0 and 2x2 + px + 25 = 0; find the values of x.
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
Which of the following is a quadratic equation?
