Advertisements
Advertisements
Question
Which of the following are quadratic equation in x?
`x^2-1/x^2=5`
Solution
`x^2-1/x^2=5x^2`
`⇒x^4-1=5x^2`
`⇒x^4-5x^2-1=0`
`(x^4-5x^2-1)`is a polynomial with degree 4.
∴` x^2-5x^2-1=0` is not a quadratic equation
APPEARS IN
RELATED QUESTIONS
If α + β = 5 and α3 +β3 = 35, find the quadratic equation whose roots are α and β.
In the following, determine whether the given values are solutions of the given equation or not:
`x^2 - 3sqrt3x+6=0`, `x=sqrt3`, `x=-2sqrt3`
Without solving, comment upon the nature of roots of the following equation:
2x2 + 8x + 9 = 0
(x + 3)² – 4(x + 3) – 5 = 0
Solve `x/3 + 3/(6 - x) = (2(6 + x))/15; (x ≠ 6)`
`x^2=18x-77`
` x^2+6x-(a^2+2a-8)=0`
Find the quadratic equation, whose solution set is:
{3,5}
If m and n are roots of the equation `1/x - 1/(x - 2) = 3`; where x ≠ 0 and x ≠ 2; find m × n.
Solve the following equation by using formula :
2x2 – 7x + 6 = 0