Advertisements
Advertisements
प्रश्न
In each of the following, determine whether the given values are solution of the given equation or not:
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`
Advertisements
उत्तर
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`.
`(x^2 + 1)/x = (13)/(6)`
⇒ 6x2 - 12x + 6 = 0
Now on substitute x = `(5)/(6)` in equation
L.H.S. = `6 xx (5/6)^2 - 13 xx (5)/(6) + 6`
⇒ = `(25)/(6) - (65)/(6) + 6`
⇒ = `(61)/(6) - (65)/(6) ≠ 0 ≠ "R.H.S."`
∴ x = `(5)/(6)` is not a solution of the given equation.
on substituting x = `(4)/(3)` in L.H.S. of given equation
⇒ L.H.S. = `6 xx (4/3)^2 - 13 xx (4)/(3) + 6`
= `(32)/(3) - (52)/(3) + 6`
= `(50)/(3) - (52)/(3) ≠ 0 ≠ "R.H.S."`
Hence, `(4)/(3)` is not a solution of the given equation.
संबंधित प्रश्न
Solve the following quadratic equation for x : 4x2 − 4a2x + (a4 − b4) =0.
Solve for x
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 2, "where x" != -1/2, 1`
Solve the following quadratic equations by factorization:
25x(x + 1) = – 4
Solve the following quadratic equations by factorization:
`(x + 3)/(x - 2) - (1 - x)/x = 17/4; x ≠ 0, 2`
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 teacher on attempting to arrange the students for mass drill in the form of a 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.
Find the value of k for which the following equations have real and equal roots:
\[x^2 - 2\left( k + 1 \right)x + k^2 = 0\]
If the equations \[\left( a^2 + b^2 \right) x^2 - 2\left( ac + bd \right)x + c^2 + d^2 = 0\] has equal roots, then
In each of the following determine whether the given values are solutions of the equation or not.
3x2 - 2x - 1 = 0; x = 1
Solve the following equation by factorization
`(8)/(x + 3) - (3)/(2 - x)` = 2
