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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