2x^2-2√2x+1=0 using quadratic formula
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BY MIDDLE TERM SPLITTING
→ 2x² - 2√2x +1 = 0
→ 2x² - √2x - √2x + 1 = 0
→ √2x(√2x - 1) - (√2x - 1) = 0
→ (√2x - 1)² = 0
→ √2x - 1 = 0
→ x = 1/√2
On rationalising
x = √2/2 _______________ (Ans.)
BY QUADRATIC FORMULA
→ x = [-b ± √(b² - 4ac) ]/2a
→ x = [2√2 ± √(8 - 4*2*1) ]/2*2
→ x = (2√2 ± 0)/4
→ x = 2√2/4
→ x = √2/2 ______________ (Ans.)
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