Advertisements
Advertisements
प्रश्न
Determine the nature of the roots of the following quadratic equation :
2x2 -3x+ 4= 0
उत्तर
2x2 -3x+ 4= 0
b2 - 4ac
= (-3)2 - 4(2)( 4)
= 9 - 32
= - 23
Since discriminant is negative, hence the roots are imaginary.
APPEARS IN
संबंधित प्रश्न
If one root of the quadratic equation is `3 – 2sqrt5` , then write another root of the equation.
Determine the nature of the roots of the following quadratic equation:
`3/5x^2-2/3x+1=0`
Find the value of the discriminant in the following quadratic equation :
x2 +2x+4=0
Solve the following quadratic equation using formula method only
`3"x"^2 +2 sqrt 5 "x" -5 = 0`
Find the value of k for which the following equation has equal roots:
(k − 12)x2 + 2(k − 12)x + 2 = 0.
Determine whether the given quadratic equations have equal roots and if so, find the roots:
3x2 - 6x + 5 = 0
Choose the correct answer from the given four options :
If the equation 3x² – kx + 2k =0 roots, then the the value(s) of k is (are)
A quadratic equation with integral coefficient has integral roots. Justify your answer.
Let α and β be the roots of the equation, 5x2 + 6x – 2 = 0. If Sn = αn + βn, n = 1, 2, 3, ....., then ______.
If α and β be the roots of the equation x2 – 2x + 2 = 0, then the least value of n for which `(α/β)^n` = 1 is ______.