Question

write the quadratic equation whose Roots are x = 2 and x= -3 ​

Answer 1

X = 1 means that one of the factors is (X – 1) and

X = –7 means that the other factor is (X + 7)

Multiply them together (X – 1)(X + 7) and the equations is X2 + 6X – 7 = 0

Answer 2

Answer:

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x²+x - 6

Step-by-step explanation:

Let α= 2 and β=-3

So, Sum of zeros= α+β => 2+(-3)=> 2-3=> -1

Product of zeros= αβ => 2×-3 => -6

Standard form of quadratic equation = x²-(α+β)x + αβ

= x²-(-1)x+(-6)

= x²+1x-6

= x²+x - 6

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