Math, asked by sarithachowdary38, 11 months ago

find roots of quadratic equation 2xsquare+x-4 completing the square​

Answers

Answered by rajub8877
2

Answer:

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Answered by devrajdeora1998
1

Step-by-step explanation:

2x² + x - 4 = 0.............eq.1

eq.1 divide by 2

2x²/2 + x/2 - 4/2 = 0

=> x² + x/2 - 2 = 0............eq.2

by adding (1/4)² both side.....

=> x² + x/2 + (1/4)² = (1/4)² + 2

=> (x + 1/4)² = 1/16 + 2

=> (x+1/4)² = (√33/2)²

taking square root......

x + 1/4 = ± √33/2

taking '+'

x + 1/4 = +√33/2

=> x = √33/2 - 1/4

=> x = (2√33 - 1) / 4

taking '-'

x + 1/4 = -√33/2

=> x = -√33/2 - 1/4

=> x = –(2√33 + 1) / 4

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