Answer

Verified

483.6k+ views

Hint: Any value is said to be a root of the equation only when it results to zero, when substituted in the equation.

Complete step-by-step answer:

It has been given, ${y^2} + 5y + 6 = 0$

Put y = 4 in the equation, we get

16 + 20 + 6 = 42 Since, the remainder for the equation is not zero, hence, 4 is not the root.

Similarly, Put y = -2 in the equation, we get

4 - 10 + 6 = 0 Since, the remainder for the equation is not zero, hence, -2 is the root.

Similarly, Put y = -3 in the equation, we get

9 - 15 + 6 = 0 Since, the remainder for the equation is zero, hence, -3 is the root.

Therefore, the answer is False.

Note: One must also note that it is a quadratic equation, hence it can not have more than 2 roots, so by default the answer was false. One can find the roots of the quadratic equation by using factorisation method or quadratic formula.

Complete step-by-step answer:

It has been given, ${y^2} + 5y + 6 = 0$

Put y = 4 in the equation, we get

16 + 20 + 6 = 42 Since, the remainder for the equation is not zero, hence, 4 is not the root.

Similarly, Put y = -2 in the equation, we get

4 - 10 + 6 = 0 Since, the remainder for the equation is not zero, hence, -2 is the root.

Similarly, Put y = -3 in the equation, we get

9 - 15 + 6 = 0 Since, the remainder for the equation is zero, hence, -3 is the root.

Therefore, the answer is False.

Note: One must also note that it is a quadratic equation, hence it can not have more than 2 roots, so by default the answer was false. One can find the roots of the quadratic equation by using factorisation method or quadratic formula.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

Give 10 examples for herbs , shrubs , climbers , creepers