Advertisements
Advertisements
Question
Solve the following equation: `"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`
Advertisements
Solution
`"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`
Multiply by mn
m2x2 + n2 = mn - 2mnx
(mx+ n)2 = mn
mx + n =± `sqrt "mn"`
mx = - n ± `sqrt "mn"`
x = `(-"n" ± sqrt "mn")/"m"`
APPEARS IN
RELATED QUESTIONS
Find two numbers whose sum is 27 and product is 182.
The product of Ramu's age (in years) five years ago and his age (in years) nice years later is 15. Determine Ramu's present age.
Solve the following quadratic equation by factorisation.
25m2 = 9
If −5 is a root of the quadratic equation\[2 x^2 + px - 15 = 0\] and the quadratic equation \[p( x^2 + x) + k = 0\] has equal roots, find the value of k.
If \[1 + \sqrt{2}\] is a root of a quadratic equation will rational coefficients, write its other root.
Write the number of real roots of the equation x2 + 3 |x| + 2 = 0.
Show that x = −2 is a solution of 3x2 + 13x + 14 = 0.
Solve the equation 2x `-(1)/x` = 7. Write your answer correct to two decimal places.
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.
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
