Quadratic equation (Basics) Presented by: Abhishek Kumar

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General form of a Quadratic Equation ax2 + bx + c = 0 Quadratic equation means that it will definitely have the maximum power of the variable as '2" which means we will always see ax2 term in a quadratic equation. Or we can say that b can be 0, c can be 0 but a will never be 0

Methods Of Solving quadratic equation >Middle term Splitting > By formula

Middle term Splitting Example: 2x2 +11x + 9 = 0 Solution: 2x2 +2x + 9x + 9 = 0 2x(x+1 ) +9(x+1) = 0 (x+ 1 )(2x+9)=0 x =-9/2-4.5 and x =-1

By use of formula Example: 4x2 +7x-2 = 0 Solution: 4x2 +7x -2 Example: 4x2+7x -2 acy]/2a x-(-7 M72-4*4*-2)]/24 x=[-7 978 x=-16/2 and x=2/8 x--2 and 0.25 x=(-7-9)/8 and x=(--749)/8 x--2 and

Actual question asked in exam Q) I" x2-5x + 6 = 0 Il. y2ty - 6 0 Solution: Solving equation I: x2-5x6 0 x(x-3)-2(x-3) = 0 x2-3x-2x + (3*2) = 0 (x-3)(x-2) = 0 x 2 and 3 Solving equation I: y2 ty-6-0 y2 +3y-2y-6 = 0 y (y+3)-2(y+3) = 0(y+3)(y-2)=0 y -3and 2

-3 2 3 We can clearly see using number line that x is greater than y but x and y have a common point. So the relationship between x and y will be x2y.

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Abhishek Kumar

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Sourav Pal

a year ago

thanks for this course

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Hari Ashwath

3 years ago

This is a very good introduction to the concept. It's good to refresh and reinforce concepts once in a while. Cheers!

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