Show that x2 + 6x + 10 has no zero
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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.
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