Advertisements
Advertisements
Question
Find the value of the discriminant in the following quadratic equation:
2x2 - 5x + 3 = 0
Advertisements
Solution
2x2 - 5x + 3 = 0
Discriminant- b2 - 4ac
(-5)2 - 4(2)(3)
= 25 -24
= 1
APPEARS IN
RELATED QUESTIONS
Find the values of k for which the roots are real and equal in each of the following equation:
`kx^2-2sqrt5x+4=0`
Find the values of k for which the roots are real and equal in each of the following equation:
4x2 - 3kx + 1 = 0
If the roots of the equations ax2 + 2bx + c = 0 and `bx^2-2sqrt(ac)x+b = 0` are simultaneously real, then prove that b2 = ac.
Given that one root of the quadratic equation ax2 + bx + c = 0 is three times the other, show that 3b2 – 16ac.
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – x + 1 = 0; 1, – 1
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:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
x2 – 3x + 4 = 0
A quadratic equation with integral coefficient has integral roots. Justify your answer.
Which of the following equations has imaginary roots?
