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In this lesson, we will learn how to write a quadratic equation given its roots.

Q1:

If the two roots of the equation − 5 𝑥 + 1 0 𝑥 + 𝑘 = 0 are equal, determine the value of 𝑘 , then find the two roots.

Q2:

Given that a root of the equation 𝑥 + 1 8 𝑥 + 𝑘 = 0 is 𝑥 = − 3 , what is the value of 𝑘 ?

Q3:

If 𝐿 and 𝑀 are the roots of the equation 𝑥 + 2 𝑥 − 6 = 0 , what is the value of 𝐿 + 𝑀 ?

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