Advertisements
Advertisements
प्रश्न
Solve the following equation :
`sqrt 2 "x"^2 - 3"x" - 2 sqrt 2 = 0`
Advertisements
उत्तर
`sqrt 2 "x"^2 - 3"x" - 2 sqrt 2 = 0`
`"x"^2 - 3/sqrt 2 "x" - 2 = 0`
`"x"^2 + 1/sqrt 2 "x" - 2 sqrt 2 - 2 = 0`
`"x" ("x" + 1/ sqrt 2) - 2 sqrt 2 ("x" + 1/ sqrt 2) = 0`
`("x" + 1/sqrt 2)("x" - 2 sqrt 2) = 0`
`("x" + 1/sqrt 2) = 0 , ("x" - 2 sqrt 2) = 0`
x = `-1/sqrt 2` , `"x" = 2 sqrt 2`
APPEARS IN
संबंधित प्रश्न
Solve for x
`(2x)/(x-3)+1/(2x+3)+(3x+9)/((x-3)(2x+3)) = 0, x!=3,`
The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream.
A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed. Find the usual speed of the plane.
Solve:
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
A teacher on attempting to arrange the students for mass drill in the form of solid square found that 24 students were left. When he increased the size of the square by one student, he found that he was short of 25 students. Find the number of students.
Solve the following quadratic equation by factorisation.
\[6x - \frac{2}{x} = 1\]
Write the number of real roots of the equation x2 + 3 |x| + 2 = 0.
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
Solve equation using factorisation method:
(x + 3)2 – 4(x + 3) – 5 = 0
Solve the following equation by factorisation :
x2 + 6x – 16 = 0
