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The picture is hazy pls resend
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-16
Step-by-step explanation:
Sum S and product P of roots of the quadratic polynomials written in form of ax² + bx + c is given by -b/a & c/a respectively.
Here, if a and b are roots/zeroes,
=> S = a + b = (3 + 5i)/1 = 3 + 5i
=> P = ab = 15i/1 = 15i
Square on both sides of a + b:
=> (a + b)² = (3 + 5i)²
=> a² + b² + 2ab = 3² + 5²i² + 30i
=> a² + b² + 2(15i) = 9 + 25(-1) + 30i
=> a² + b² + 30i = 9 - 25 + 30i
=> a² + b² = - 16
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