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Question 1
If x2 − 18x + 79 = 0 then what is the value of ![](https://gs-post-images.grdp.co/2021/1/527-img1611925200494-90.png-rs-high-webp.png)
![](https://gs-post-images.grdp.co/2021/1/527-img1611925200494-90.png-rs-high-webp.png)
Question 2
If x + y + z = 19, xy + yz + zx = 114, then the value of
will be:
![](https://gradeup-question-images.grdp.co/liveData/PROJ35837/1570194332044380.png)
Question 3
The difference of the roots of the equation 4x2 −11x +7 = 0 is
Question 4
If p1/3 + q1/3 − r1/3 = 0; then (p+q−r)3 + 27pqr is equal to:
Question 5
If a =
; b =
; then find the value of a2 – ab + b2
![](https://gradeup-question-images.grdp.co/liveData/PROJ19533/1533201765178385.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ19533/1533201765901361.png)
Question 6
Find the maximum value of 54 − x2 − 15x, where x ∈ R.
Question 7
If P = 7 + 4√3 then find
=?
![](https://gradeup-question-images.grdp.co/equations/1584521294850.png)
Question 8
If
,
and
; then what is the value of p2+q2+r2−pqr
![](https://gradeup-question-images.grdp.co/liveData/PROJ39588/1572417698392188.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ39588/1572417699090999.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ39588/1572417699808619.png)
Question 9
If a2 + b2 + 64c2 + 16c + 3 = 2(a + b), then the value of 4a7 + b7 + 8c2 is :
Question 10
If x6 - 12x3 - 64 = 0 then find the value of x (x >0).
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Jun 7SSC & Railway