Advertisements
Advertisements
प्रश्न
If one root of the quadratic equation is `3 – 2sqrt5` , then write another root of the equation.
Advertisements
उत्तर
One root of the quadratic equation is given to be `3 – 2sqrt5`
The other root will be the conjugate of `3 – 2sqrt5
conjugate of `3 – 2sqrt5=3 + 2sqrt5`
APPEARS IN
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation 2x2 – 7x + 3 = 0
Determine the nature of the roots of the following quadratic equation:
(b + c)x2 – (a + b + c)x + a = 0
Find the values of k for which the roots are real and equal in the following equation:
kx(x – 2) + 6 = 0
Find the values of k for which the given quadratic equation has real and distinct roots:
kx2 + 6x + 1 = 0
Find the value(s) of k so that the quadratic equation 3x2 − 2kx + 12 = 0 has equal roots ?
Solve the following quadratic equation using formula method only
3a2x2 +8abx + 4b2 = 0, a ≠ 0
From the quadratic equation if the roots are 6 and 7.
Find the value of k for which the given equation has real roots:
9x2 + 3kx + 4 = 0.
Find the discriminant of the following equations and hence find the nature of roots: 3x2 – 5x – 2 = 0
Find the discriminant of the following equations and hence find the nature of roots: 2x2 + 15x + 30 = 0
Discuss the nature of the roots of the following quadratic equations : `2sqrt(3)x^2 - 5x + sqrt(3)` = 0
Which of the following equations has 2 as a root?
The roots of the quadratic equation `"x" + 1/"x" = 3`, x ≠ 0 are:
The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is:
If one root of the quadratic equation 2x2 + kx – 6 = 0 is 2, the value of k is:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
`2x^2 - 6x + 9/2 = 0`
Find whether the following equation have real roots. If real roots exist, find them.
8x2 + 2x – 3 = 0
Find the discriminant of the quadratic equation `3x^2 - 2x + 1/3` = 0 and hence find the nature of its roots.
Which of the following equations has two real and distinct roots?
