find the nature of the roots of x square + 7 x + 6 is
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Answer:
6 is the correct answer
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SOLUTION:-
Given
• Quadratic equation x²+7x+6
To Calculate
• Nature of the roots
Explanation
Quadratic equation x²+7x+6 [Given]
This is of the form ax²+bx+c=0
Where,
a = 1
b = 7
c = 6
We know that,
☆ D = (b²-4ac) ☆
Putting values,
➡️ D= 7²-4×1×6
➡️ D = 49-24
➡️ D= 25
D > 0
Hence,
• The Given equation has Real and unequal roots.
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☃️ Additional information ☃️
Case1
When D>0
In this case , The roots are real and distinct
Case2
When D=0
In this Case , The roots are real and equal
Case3
When D<0
In this case, No real Roots
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