Advertisements
Advertisements
प्रश्न
If a = 1, b = 4, c = – 5, then find the value of b2 – 4ac
Advertisements
उत्तर
b2 – 4ac = (4)2 – 4(1)(– 5)
= 16 + 20
= 36
APPEARS IN
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation 2x2 + 2x + 3 = 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.
Determine the nature of the roots of the following quadratic equation :
x2 -5x+ 7= 0
Find the value of k for which the roots of the equation 3x2 -10x +k = 0 are reciprocal of each other.
If one root of the equation 2x² – px + 4 = 0 is 2, find the other root. Also find the value of p.
Solve the following by reducing them to quadratic equations:
x4 - 26x2 + 25 = 0
Solve for x: (x2 - 5x)2 - 7(x2 - 5x) + 6 = 0; x ∈ R.
Given that one root of the quadratic equation ax2 + bx + c = 0 is three times the other, show that 3b2 – 16ac.
Find the value(s) of p for which the equation 2x2 + 3x + p = 0 has real roots.
Find the values of m so that the quadratic equation 3x2 – 5x – 2m = 0 has two distinct real roots.
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
If the root of the given quadratic equation are real and equal, then find the value of ‘k’ X2 + 2X + k = 0
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:
(x2 + 1)2 – x2 = 0 has ______.
A quadratic equation with integral coefficient has integral roots. Justify your answer.
Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify your answer.
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x – 1)(x + 2) + 2 = 0
Find whether the following equation have real roots. If real roots exist, find them.
`x^2 + 5sqrt(5)x - 70 = 0`
Solve for x: `5/2 x^2 + 2/5 = 1 - 2x`.
Find the discriminant of the quadratic equation `3x^2 - 2x + 1/3` = 0 and hence find the nature of its roots.
The roots of the quadratic equation x2 – 6x – 7 = 0 are ______.
