Question

Find the quadratic whoes zeros are 2and -6

Answer 1

Answer:

x^2-(2-6)x+2×-6

x^2+4x-12..................

Answer 2

Answer:

The quadratic equation is x² + 4x - 12.

Step-by-step explanation:

we know, α and β are 2 and -6 respectively,

α + β = -b/a

=>2 + (-6) = -b/a

=>-b/a = -4/1 ---- eq1

αβ = c/a

=>2(-6) = c/a

=>c/a = -12/1 ----eq2

clearly for eq1 and eq2,

a = 1, b = 4, c = -12

∴the quadratic equation is x² + 4x - 12.

HOPE IT HELPS!

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