About Me Shubham Agrawal IIT Roorkee 2013 graduate IIM Dropout SBI PO under 100 ranker (dropout) Left job to pursue my passion- Education

Concept What if b2 -4ac is negative? . th aain 0

Concept What if b2-4ac is 0? 2o 2a

Concept . what if b = 0 ? uab 0? Both roots are equal and opposite in sign

Concept Nature of Roots ax2 + bx + c = 0 Roots + Both-ve + Both +ve

Properties of roots Sum of roots: Product of roots:

Properties of roots If and are roots of an equation then equation can be written as: (x-a)(x- )-0 OR

Question Q. If a, b are the two roots of a quadratic equation such that a t b- 24 and a b 8, then the quadratic equation having a and b as its roots is:

Question Q. If a, b are the two roots of a quadratic equation such that a + b24 and a -b- 8, then the quadratic equation having a and b as its roots is: 2 2

Question Q. If a and b are the roots of the equation x2- 6x + 6 0, then the value of a2 + b2 is?

Question Q. If a and b are the roots of the equation x2-6x + 6 0, then the value of a2 + b2 is? a4b -26-122 2

Inequations

Inequality Properties M-a a a Provided 'ai positiue oN

Inequality Properties I n hen -

Question Q. Solve 5 2x-1 3 11

Modulus

Concept xl x,x2 0 121-2

Identities

Concept (a + b). a2 + b2 + 2ab a2 + b2 (a + b)2-2ab

Question The sum of two nos. is 14 and their product is 48. Find the sum of the square of the numbers 2 ) nd 2 1969 lt

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Shubham Agrawal

IIT Roorkee Grad.
IIM L |Dropout.
SBI PO 2017 Topper and Dropout.
Full Time Educator.

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Shashi kumar

7 months ago

Nice video

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