Find the coordinates of the points
Where the graph of the polynomial

y = x²+x-6 intersects x-axis.​

Find the coordinates of the points
Where the graph of the polynomial

y = x²+x-6 intersects x-axis.​

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Alaia

2 thoughts on “Find the coordinates of the points<br />Where the graph of the polynomial<br /><br />y = x²+x-6 intersects x-axis.​”

  1. Answer:

    i)  

    If 2x  

    2

    +kx+3=0 has equal roots, then b  

    2

    −4ac=0.

    Here, a=2,b=k,c=3

    x  

    2

    +kx+3=0

    b  

    2

    −4ac=0

    k  

    2

    −4(2)(3)=0

    k  

    2

    =24

    k=±  

    24

    ​  

    =±2  

    6

    ​  

     

    ii)  

    If kx  

    2

    −2kx+6=0 has equal roots, then b  

    2

    −4ac=0.

    Here, a=k,b=−2k,c=6

    kx(x−2)+6=0

    kx  

    2

    −2kx+6=0

    4k  

    2

    −4(k)(6)=0

    4k  

    2

    −24k=0

    4k(k−6)=0

    For k=0, equation is not quadratic.

    k=6

    Step-by-step explanation:

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