Advertisements
Advertisements
प्रश्न
`x^2-(1+sqrt2)x+sqrt2=0`
उत्तर
`x^2-(1+sqrt2)x+sqrt2=0`
⇒` x^2-x-sqrt2x+sqrt2=0`
⇒`x(x-1)-sqrt2(x-1)=0`
⇒` (x-sqrt2)(x-1)=0`
⇒`x=sqrt2=0 or x-1=0 `
⇒`x=sqrt2 or x=1`
Hence, the roots of the equation are `sqrt2` and 1
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Check whether the following is the quadratic equation:
(2x - 1)(x - 3) = (x + 5)(x - 1)
Sum of two natural numbers is 8 and the difference of their reciprocal is `2/15`. Find the numbers.
Find the quadratic equation, whose solution set is: {-2, 3}
Solve:
2x4 – 5x2 + 3 = 0
Solve:
`2(x^2 + 1/x^2) - (x + 1/x) = 11`
Find the value of x, if a + 1 = 0 and x2 + ax – 6 = 0
`4sqrt6x^2-13x-2sqrt6=0`
`x^2-4ax-b^2+4a^2=0`
`x/(x+1)+(x+1)/x=2 4/15, x≠ 0,1`
`(x - a/b)^2 = a^2/b^2`