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21. –x² + x – 2 = 0

Comparing the given equation with ax² + bx + c = 0

We have, a = –1, b = 1 and c = –2

Hence, discriminant of the equation is

b² – 4ac = 1² – 4 * (-1)* (-2) = 1 – 8 = –7

Therefore, the solution of the quadratic equation is

20. x² + 3x + 9 = 0

Comparing the given equation with ax² + bx + c = 0

We have, a = 1, b = 3 and c = 9

Hence, discriminant of the equation is

b² – 4ac = 3² – 4 * 1* 9 = 9 – 36 = –27

Therefore, the solution of the quadratic equation is

18. x² + 3 = 0

=>x² = –3

=>x = $\pm \surd 3$

=>x= ± √3$i$ [since, √-1 = i]

=>x = 0 ± √3$i$

No, applicants are not allowed to join the MBA course directly at GTU Ahmedabad without a valid score in CMAT. The primary eligibility criteria required by the GTU Ahmedabad to get admission into the MBA course is that candidates must complete their graduation with a minimum aggregate of 50%. Moreover, for admission, the university accepts a valid score on the CMAT, followed by a presentation cum interview. 

KUK offers various scholarships for candidates. These scholarships are offered in an attempt to boost the accessibility of higher education amongst candidates. Some of the scholarships available at the university are: 

• Merit-cum-means scholarships to first-year undergraduates based on their Class 12 marks
• 90 Means-based Scholarships to postgraduate students with economically weak backgrounds (BPL)
• Scholarships for students with President Medal and National Level Bravery Award

After graduation with a BBA from CHARUSAT, there are many career prospects available to candidates. These vary from private to governmental career opportunities. CHARUSAT BBA graduates have the following most preferred government job opportunities:

• Civil Services
• Banking Sector
• Public Sector Undertakings (PSUs)
• Railways
• Staff Selection Commission (SSC)
• State Government Jobs
• Defense Services

To get selected for the MBA course at Gujarat Technological University, candidates are firstly required to qualify for the basic eligibility criteria; i.e., candidates must complete their bachelor's degree with a minimum of 50% (45% for reserved category candidates). Additionally, for the selection process, the university accepts an entrance test, followed by a PI in the form of a presentation. The due weightage is given to both of the selection criteria:

CHARUSAT BBA aspirants who want to utilise scholarships must verify that they meet the eligibility criteria stated and can apply directly on the university website. The scholarship is provided to candidates on the basis of their performance in academics. For more information, candidates can see the following table:

For BBA admission at DY Patil University, Maharashtra Common Entrance Test, also known as MHT CET is accepted. Further, admission to the BBA course is subject to valid score in the last qualifying exam, i.e., Class 12 with 50% aggregate ( 45 % for the backward class of Maharashtra. 

CHARUSAT BBA students can benefit from various kinds of scholarships, including the CHARUSAT Merit Scholarship, Late Maniben Shankarbhai Patel Scholarship, Late Shankarbhai Chhaganbhai Patel Scholarship, Late Dahiben Ravjibhai Patel & Dineshbhai Ravjibhai Patel Merit Cum Means Scholarship, Prof. S. G. Shah Scholarship, Urmil & Mayuri Desai Family Trust Scholarship, Umedbhai Dharamdas Patel Charitable Trust Scholarship, and CSPIT-Alumni Association Scholarship. These scholarships are offered to Indian as well as foreign students who meet the eligibility criteria set by the university or the relevant scholarship authority.