Question

Value of discriminant of quadratic equation x2 + 5x + 6 = 0 is :

Answer 1

Answer:

Solve: #x^2 - 5x = 6#

Explanation:

#y = x^2 - 5x - 6 = 0#
In this case, (a - b + c = 0), use the shortcut --> 2 real roots--> - 1 and #(-c/a = 6).#

REMINDER of SHORCUT

When (a + b + c = 0) --> 2 real roots: 1 and #c/a#
When (a - b + c = 0) --> 2 real roots: - 1 and #(- c/a)#
Remember this shortcut. It will save you a lot of time and effort.


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Answer 2

Here is the answer

Given Equation =>
$\bf{x {}^{2} + 5x + 6 = 0}$


Comparing the given Equation with ax^2 + bx + c = 0
We get,

a = 1
b = 5
c = 6

$\bf{ \triangle = {b}^{2} - 4ac}$
$\bf {= (5) {}^{2} - 4 \times 1 \times 6}$
$\bf{= 25 - 24 = 1}$

Thus,

$\bf {\triangle \: = 1}$

The value of discriminant is 1.