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avatar+476 

The solutions to
2x^2 - 10x + 13 = -6x^2 - 18x - 15
are a+bi and a-bi, where a and b are positive. What is a\cdot b?

 Jun 8, 2024
 #1
avatar+129401 
+1

Simplify as

8x^2 + 8x + 28 = 0

2x^2 +  2x + 7 = 0

 

x =  [-2 + sqrt (-52) ] / 4  =  [-2 + 2sqrt (13) i ] / 4  =  -1/2 + (1/2) sqrt (13) i

 

"a"  is not positive

 

a * b =  (-1/2) (1/2)sqrt 13  =   -sqrt (13)  /  4

 

cool cool cool

 Jun 8, 2024

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