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Let one of the numbers be x then other number be 2-x.
According to question:
x(2-x) = -4
2x - x2 = -4
x2 - 2x - 4 = 0 which is a quadratic equation.
Standard form is ax2 + bx + c = 0.
Solutions of a quadratic equation can be found as:
x = [-b ± (b2 - 4ac)1/2]/2a
On comparing with standard form we can see clearly that:
a = 1, b = -2 and c = -4.
Putting the values of a,b and c in the above formula, we get:
x = [-(-2) ± ((-2)2 - 4(1)(-4))1/2]/2 = [2 ± (20)1/2]/2 = 1 ± 51/2.
So, the two numbers are (1 + 51/2) and (1 - 51/2).
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