(2x-7)(x^2-9)(2x+5)=91. Anybody plzz answer this question
Vaibhav gupta , 8 Years ago
Grade 10
Algebra> (2x-7)(x^2-9)(2x+5)=91. Anybody plzz answ...
1 Answers
safe india by sonu yadav
vaibhav gupta
you are a 10 class student and this not in you syllabus but one way to solve this is bylong multiplication method which can be used.
first multiply the equation to get a four degree equation which is 4x4-4x3-71x2+36x+224=0 ------(i)
on long division of (i) by its solution (x-4) we get 4x3+12x2-23x-56=0 --------(ii) and 4 became its root.
now divide (ii) by (2x+7) we get 2x2-x-8 =0 ----(iii) and another root is -7/2.
now solve (iii) and we get twoo roots x= (1+√65)/4, x=(1-√65)/4.
so its roots are
- x = 4
- x = -7/2 = -3.500
- x =(1-√65)/4=-1.766
- x =(1+√65)/4= 2.266 .
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