Answer:
x=0 or x=4 or x= -5/2
Step-by-step explanation:
x²(x−4)(2x+5)=0
x²=0 or x-4=0 or 2x+5=0
x=0 or x=4 or x= -5/2
ANSWER:
The solutions of the given equation are 0, 0, 4, [tex]-\frac{5}{2}[/tex]
SOLUTION:
Given, equation is [tex]x^{2}(x-4)(2 x+5)=0[/tex]
Degree of the given equation is 4, so it is a bi-quadratic equation and it will have four solutions.
[tex]x^{2}(x-4)(2 x+5)=0[/tex]
now on simplification we get
(x)(x)(x -4)(2x +5) = 0
It is in the form of product of four terms equal to zero.
Now, let us equate each term to zero to get solutions,
x = 0, x = 0, (x – 4) = 0, (2x + 5) =0
x = 0, x = 0,x = 4, 2x = -5
x = 0, x = 0, x = 4, x= [tex]\frac{-5}{2}[/tex]
Hence, the solutions of the given equation are 0, 0, 4, [tex]\frac{-5}{2}[/tex]
