Find the number or integral values for which

Jasiah Vincent

Jasiah Vincent

Answered question

2022-04-13

Find the number or integral values for which the inequality 3|xa|>x2 is satisfied by at least one negative x
Given: x2x+a3<0
And x2+x(a+3)<0

Answer & Explanation

uvredio0of6

uvredio0of6

Beginner2022-04-14Added 17 answers

Draw a parabola f(x)=3x2 and g(x)=|xa|.
Now, we see that a0<a<3, where y=xa0 is a tangent to f.
Thus, (3x2)=1,
which gives x=12,f(12)=114 and
114=12a0,
which gives a0=134
and we got the answer: (134,3).

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