Feeling dumb, can't get the answer to this quadratic? (1 Viewer)

Jaguar33

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In the quadratic equation, 2x^2-3x+k=0, one root is double the other. Find the value of k.

Much appreciated thanks! Have exam coming up :(
 

seventhroot

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let the roots be a and 2a

a + b = -b/a

therefore 3a = 3/2

a = 1/2 hence roots are 1/2 and 1

now ab = c/a

now 1 * 1/2 = k/2

k = 1

ezpz
 

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