SOLUTION: Find a quadratic function in the form of y = ax2 + bx + c that would have the given roots.
1. x = 2i and x = –2i
2. x =3 + i and x = 3 – i
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-> SOLUTION: Find a quadratic function in the form of y = ax2 + bx + c that would have the given roots.
1. x = 2i and x = –2i
2. x =3 + i and x = 3 – i
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Question 68000: Find a quadratic function in the form of y = ax2 + bx + c that would have the given roots.
1. x = 2i and x = –2i
2. x =3 + i and x = 3 – i Answer by tutorcecilia(2152) (Show Source):
You can put this solution on YOUR website! 1. x = 2i and x = –2i
x=2i
x-2i=0 [set each variable equal to zero]
.
x=-2i
x+2i
.
(x-2i)(x+2i) [multiply the roots]
x^2+2ix-2ix-4i^2 [multiply using the FOIL method]
x^2-4i^2 [Rule: i^2=-1]
x^2-4(-1)
x^2+4
.
check by using the quadratic formula to find the roots of y=x^2+4. The roots should be imaginary numbers.
.
2. x =3 + i and x = 3 – i
(x-3-i)(x-3+i)[set each factor equal to zero and multiply the factors]
x^2-6x-i^2+9 [simplify]
x^2-6x-(-1)+9
x^2-6x+1+9
x^2-6x+10
Check by using the quadratic formula to find the roots of x^2-6x+10
