If the sum of the roots of the equation 𝑘𝑥2+2𝑥+3𝑘=0kx 2 +2x+3k=0 is equal to the product of the roots then 𝑘=k= ______.1331 −133−1 2332 −233−2
Question
If the sum of the roots of the equation 𝑘𝑥2+2𝑥+3𝑘=0kx 2 +2x+3k=0 is equal to the product of the roots then 𝑘=k= ______.1331 −133−1 2332 −233−2
Solution
The roots of a quadratic equation ax² + bx + c = 0 are given by the formula:
Root1 = [-b + sqrt(b² - 4ac)] / 2a Root2 = [-b - sqrt(b² - 4ac)] / 2a
The sum of the roots is given by -b/a and the product of the
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