Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
2x2 – 9x + 10 = 0,when x∈Q
Advertisements
उत्तर
2x2 – 9x + 10 = 0
⇒ 2x² – 4x – 5x + 10 = 0
⇒ 2x(x – 2) – 5(x – 2) = 0
⇒ (x - 2) (2x - 5) = 0
Either x - 2 = 0,
then x = 2,
or
2x - 5 = 0,
then 2x = 5
⇒ x = `(5)/(2)`
When x ∈ Q, then x = 2, `(5)/(2)`.
APPEARS IN
संबंधित प्रश्न
Find x in terms of a, b and c: `a/(x-a)+b/(x-b)=(2c)/(x-c)`
Solve of the following equations, giving answer up to two decimal places.
3x2 – x – 7 =0
`4x^2+4sqrt3x+3=0`
Solve the following quadratic equation for x:
`4sqrt3x^3+5x-2sqrt3=0`
The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
Solve the following equation: (x-8)(x+6) = 0
Solve the following equation : x2 + 2ab = (2a + b)x
Solve the following equation: `"a"("x"^2 + 1) - x("a"^2 + 1) = 0`
Let ∆ ABC ∽ ∆ DEF and their areas be respectively, 64 cm2 and 121 cm2. If EF = 15⋅4 cm, find BC.
The perimeter of a rectangular plot is 180 m and its area is 1800 m2. Take the length of the plot as x m. Use the perimeter 180 m to write the value of the breadth in terms of x. Use the values of length, breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
