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
Solve the equation by using the formula method. 3y2 +7y + 4 = 0
Solve for x: `1/(x+1)+2/(x+2)=4/(x+4), `x ≠ -1, -2, -3
Solve the following equation:
`x - 18/x = 6` Give your answer correct to two significant figures.
Find the values of k for which the roots are real and equal in each of the following equation:
kx2 + 4x + 1 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
(2k + 1)x2 + 2(k + 3)x + (k + 5) = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
4x2 - 3kx + 1 = 0
If 1 is a root of the quadratic equation 3x2 + ax – 2 = 0 and the quadratic equation a(x2 + 6x) – b = 0 has equal roots, find the value of b ?
What is the nature of roots of the quadratic equation 4x2 − 12x − 9 = 0?
48x² – 13x -1 = 0
Without solving the following quadratic equation, find the value of ‘p’ for which the given equation has real and equal roots:
x² + (p – 3) x + p = 0
Find the discriminant of the following equations and hence find the nature of roots: 2x2– 3x + 5 = 0
Find the nature of the roots of the following quadratic equations: `x^2 - 2sqrt(3)x - 1` = 0 If real roots exist, find them.
Without solving the following quadratic equation, find the value of ‘p’ for which the given equations have real and equal roots: px2 – 4x + 3 = 0
The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is:
The roots of the equation 7x2 + x – 1 = 0 are:
(x2 + 1)2 – x2 = 0 has ______.
For the roots of the equation a – bx – x2 = 0; (a > 0, b > 0), which statement is true?
If one root of the quadratic equation x2 + 12x – k = 0 is thrice the other root, then find the value of k.
Find the value of ‘p’ for which the quadratic equation px(x – 2) + 6 = 0 has two equal real roots.
The roots of the quadratic equation x2 – 6x – 7 = 0 are ______.
