Question

CHAPTER - 1 quadratic equations with one variable

1. if one root of the equation ax²+bx+c=0 is twice of the other, then let us show that, 2b²=9ac​

Answer 1

Answer:

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Step-by-step explanation:

ax2 + bx + c = 0

Let the roots be α and 2α

Sum of roots = -b/a

⇒ α + 2α = -b/a

⇒ 3α = -b/a

⇒ α = - b/3a …..(i)

Product of root = c/a

⇒ 2α2 = c/a

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