I need the solutions for these 2 questions.
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1)Pure quadratic equations are the ones which only have the x squared term and a constant term .
that is of the form
ax²+c = 0
that is b = 0,
in the above question , the coefficient of x ie (2b+6) should be zero .
therefore 2b=-6 or b=-3
2) for ax² + bx + c =0
sum of roots = -b/a
product = c/a
let x ,y be the roots .
then
x + y = -p
xy = -3
now
x² + y² = 10
adding 2xy both sides.
>x² +y² + 2xy = 10 + 2xy
>( x + y )² = 10 + 2( -3 )
>p² = 4
>p = +-2
that is of the form
ax²+c = 0
that is b = 0,
in the above question , the coefficient of x ie (2b+6) should be zero .
therefore 2b=-6 or b=-3
2) for ax² + bx + c =0
sum of roots = -b/a
product = c/a
let x ,y be the roots .
then
x + y = -p
xy = -3
now
x² + y² = 10
adding 2xy both sides.
>x² +y² + 2xy = 10 + 2xy
>( x + y )² = 10 + 2( -3 )
>p² = 4
>p = +-2
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