If one root of the quadratic equation a x square + C is equal to zero is double the other then show that 2b square is equal to 9AC
kinkyMkye:
what's the equation?
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ax² + bx +c = 0 has roots α, 2α
so 3α = -b/a
2α² = c/a
solving...
2(-b/3a)² = c/a
2b² = 9ac
so 3α = -b/a
2α² = c/a
solving...
2(-b/3a)² = c/a
2b² = 9ac
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