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Show that polynomial x*x+6x+10 has no …

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Show that polynomial x*x+6x+10 has no zero

Posted by Prakhar Parashar 4 years, 11 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 4 years, 11 months ago

Given - x²+6x+10

Find - To show the equation has no zero.

Answer - The discriminant is used to check the expression has one solution or does not have solutions.

If the answer is zero, then equation will have one solution. If the answer is negative, then equation will have two imaginery numbers as solutions.

The discriminant is - b²-4ac.

Keeping the values in equation - =6²-4*1*10

=36-40

=-4.

The solution is negative, which is not zero. Hence, it will have two imaginery numbers.

0Thank You

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