The value of x 2 - 6x + 13 can never be less than what ?
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it means you find this quadratic equation Range .
x^2-6x+13=y (let)
x^2-6x+13-y=0
now find D=b^2-4ac
=(6)^2-4 (13-y)(1)
=36-4 (13-y)
but we know quadratic gain real value
when D €[0, infinite) or, D>=0
€ mean belongs to
hence
{36-4 (13-y)}>=0
9-13+y>=0
y>=4
hence x^2-6x+13 never less then 4
x^2-6x+13=y (let)
x^2-6x+13-y=0
now find D=b^2-4ac
=(6)^2-4 (13-y)(1)
=36-4 (13-y)
but we know quadratic gain real value
when D €[0, infinite) or, D>=0
€ mean belongs to
hence
{36-4 (13-y)}>=0
9-13+y>=0
y>=4
hence x^2-6x+13 never less then 4
abhi178:
please mark as brainliest
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