If one of the roots of the equation x2+kx=6 is 2, what is the value...

Tianna Mayer

Tianna Mayer

Answered

2022-12-31

If one of the roots of the equation x2+kx=6 is 2, what is the value of k?

Answer & Explanation

mercerizoblx

mercerizoblx

Expert

2023-01-01Added 7 answers

x2Sx+P=0x2+kx6=0
a+b=k
ab=6
b=2a=3
3+2=k
1=k
Thaddeus Herman

Thaddeus Herman

Expert

2023-01-02Added 1 answers

Let's resolve the quadratic equation for k:
kx=6x2
k=6x2x
Let's plug it into the equation and find k if one root equals 2.
k=6(22)2=642=22
k=1

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