Advertisements
Advertisements
प्रश्न
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
Advertisements
उत्तर
Given quadratic equation is x2 + 4x + 5 = 0
D = b2 – 4ac
= (4)2 – 4(1)(5)
= 16 – 20
= – 4
Since D < 0, the roots of the given quadratic equation does not exist.
APPEARS IN
संबंधित प्रश्न
If -5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x)k = 0 has equal roots, find the value of k.
For what value of m, are the roots of the equation (3m + 1)x2 + (11 + m) x + 9 = 0 equal?
Solve the following quadratic equation using formula method only
`sqrt 3 "x"^2 + 10 "x" - 8 sqrt 3 = 0`
For what value of k, the roots of the equation x2 + 4x + k = 0 are real?
Find the discriminant of the following equations and hence find the nature of roots: 2x2 + 15x + 30 = 0
If b2 – 4ac > 0 and b2 – 4ac < 0, then write the nature of roots of the quadratic equation for each given case.
Mohan and Sohan solve an equation. In solving Mohan commits a mistake in constant term and finds the roots 8 and 2. Sohan commits a mistake in the coefficient of x. The correct roots are:
The roots of the equation 7x2 + x – 1 = 0 are:
Find whether the following equation have real roots. If real roots exist, find them.
–2x2 + 3x + 2 = 0
The nature of roots of the quadratic equation 9x2 – 6x – 2 = 0 is ______.
