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
Solve the following quadratic equation for x:
`x^2+(a/(a+b)+(a+b)/a)x+1=0`
Solve the following quadratic equations by factorization:
`(x-1/2)^2=4`
Solve 2x2 – 9x + 10 =0; when x ∈ Q
Solve for x: `3x^2-2sqrt3x+2=0`
Solve the following equation: `("a+b")^2 "x"^2 - 4 "abx" - ("a - b")^2 = 0`
One fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.
Mohini wishes to fit three rods together in the shape of a right triangle. If the hypotenuse is 2 cm longer than the base and 4 cm longer than the shortest side, find the lengths of the rods.
In a P.T. display, 480 students are arranged in rows and columns. If there are 4 more students in each row than the number of rows, find the number of students in each row.
Is 0.2 a root of the equation x2 – 0.4 = 0? Justify
If x4 – 5x2 + 4 = 0; the values of x are ______.
