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8x^2-22x-21=0 solve this by completing square method
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Question- solve=8x^2-22x-21=0 solve by completing square method
solution- Given quadratic equation is 8x^2-22x-21=0 on comparing with standard from of quadratic equation ax^2+bx+c=0
here A=8 , b=-22 , c=-21
ac = 8×-21=-168
- c have negative sign so we have to find the factor of 168 whose difference is -22
- such factor 28 and 6
- 8x^2-22x-21=0
- 8x^2-28x+6x-21=0
- 4x(2x-7)+3(2x-7)=0
- (4X+3) (2X-7)=0
- (4x+3)=0 or (2x-7)=0
- 4x=0-3 or 2x=0+7
- x=-3/4 x=7/2
- hence, root of equation 8x^2-22x-21=0
- are -3/4 and 7/2
i hope you gave a help
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x=-3/4, 7/2
Given,
8x^2-22x-21=0
To find,
8x^2-22x-21=0 solve this by completing square method
Solution
8x^2-22x-21=0 solve this by completing square method
Solution Step by Step:
The quadratic equation ax2+bx+c=0's standard form is
8x^2-22x-21=0
8x^2-28x+6x-21=0
4x(2x-7)+3(2x-7)=0
(4x+3)(2x-7)=0
4x+3=0
4x=-3
x=-3/4
2x-7=0
2x=7
x=7/2
Hence x=-3/4, 7/2
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