English
Maharashtra State BoardSSC (English Medium) 10th Standard

If a = 1, B = 8 and C = 15, Then Find the Value of B 2 − 4 Ac

Advertisements
Advertisements

Question

If a = 1, b = 8 and c = 15, then find the value of  `"b"^2 - 4"ac"`

Sum
Advertisements

Solution

a = 1, b = 8 and c = 15

`"b"^2 - 4"ac"` = `8^2 - 4(1)(15)`

= 64 - 60

= 4

`"b"^2 - 4"ac"` = 4

shaalaa.com
  Is there an error in this question or solution?
2013-2014 (October)

APPEARS IN

RELATED QUESTIONS

Find that non-zero value of k, for which the quadratic equation kx2 + 1 − 2(k − 1)x + x2 = 0 has equal roots. Hence find the roots of the equation.


Is it possible to design a rectangular mango grove whose length is twice its breadth and the area is 800 m2? If so, find its length and breadth.


Find the values of k for which the given quadratic equation has real and distinct roots:

kx2 + 2x + 1 = 0


Solve the following quadratic equation using formula method only :

 x2 +10x- 8= 0 


Without solving the following quadratic equation, find the value of ‘p’ for which the given equations have real and equal roots: x2 + (p – 3)x + p = 0.


Find the values of p for which the equation 3x2 – px + 5 = 0 has real roots.


Which of the following equations has no real roots?


Discuss the nature of the roots of the following equation: `sqrt(3)x^2 - 2x - sqrt(3)` = 0


The equation 2x2 + kx + 3 = 0 has two equal roots, then the value of k is:


α and β are the roots of 4x2 + 3x + 7 = 0, then the value of `1/α + 1/β` is:


If p, q and r are rational numbers and p ≠ q ≠ r, then roots of the equation (p2 – q2)x2 – (q2 – r2)x + (r2 – p2) = 0 are:


Find the roots of the quadratic equation by using the quadratic formula in the following:

5x2 + 13x + 8 = 0


Find whether the following equation have real roots. If real roots exist, find them.

5x2 – 2x – 10 = 0


Find whether the following equation have real roots. If real roots exist, find them.

`x^2 + 5sqrt(5)x - 70 = 0`


Let p be a prime number. The quadratic equation having its roots as factors of p is ______.


Find the value(s) of 'a' for which the quadratic equation x2 – ax + 1 = 0 has real and equal roots.


If the quadratic equation ax2 + bx + c = 0 has two real and equal roots, then 'c' is equal to ______.


Statement A (Assertion): If 5 + `sqrt(7)` is a root of a quadratic equation with rational co-efficients, then its other root is 5 – `sqrt(7)`.

Statement R (Reason): Surd roots of a quadratic equation with rational co-efficients occur in conjugate pairs.


If 3 is a root of the quadratic equation x2 – px + 3 = 0, then p is equal to ______.


The roots of equation (q – r)x2 + (r – p)x + (p – q) = 0 are equal.

Prove that 2q = p + r; i.e., p, q, and r are in A.P.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×