Write the quadratic equation whose roots are 6 and 1, and whose leading coefficient is 2.

If 2 and 5 are roots, then (x - 2) and (x - 5) are factors.

f(x) = 4(x - 2)(x - 5)               FOIL

f(x) = 4(x2 - 7x + 10)             distribute

f(x) = 4x2 - 28x + 40

Step-by-step explanation:

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answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11