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