Find range of values of x such that each of the following inequalities is valid

Question

eric_d · Answer

$$x(5x^2+8) \le 1/2(47x^2-48)$$

eric_d · Answer

$$10x^3-47x^2+16x+48 \le 0$$

eric_d · Answer

What shall I do nxt
@ganeshie8

ganeshie8 · Answer

I would try to factor it

ganeshie8 · Answer

eric_d · Answer

After that

eric_d · Answer

Nvm, I gt the answer

eric_d · Answer

Can we factorise the above quation without using a calculator

eric_d · Answer

equation*

ganeshie8 · Answer

yes but its a bit lengthy process, you need to know below goodies :
1) descartes rule of signs
2) rational root theorem
3) synthetic division

eric_d · Answer

I'll jst use ur first method

eric_d · Answer

What about this question
2x^2-3x-12 smaller or equal to 0
Same method as above to find the inequalities?

ganeshie8 · Answer

may be factor it by using quadratic formula

eric_d · Answer

The values might be in decimals 
But the answer given is $$x \le -3/2,2<x \le4$$

ganeshie8 · Answer

check the equation once.. is the equation really a quadratic ?

eric_d · Answer

yes..

ganeshie8 · Answer

not sure, im also getting decimals...