Question

completing the square 2 X square + X - 4 equal to zero

Answer 1

Hi Friend ✋✋✋

I hope your question is - " Find the value of x by completing the square method - 2x² + x - 4 = 0 "

Your answer is....

2x² + x - 4 = 0

${x}^{2} + \frac{x}{2} - \frac{4}{2} = 0$

${x}^{2} + 2 \times x \times \frac{1}{4} - \frac{4}{2} = 0$

${x}^{2} + 2 \times x \times \frac{1}{4} + {( \frac{1}{4} )}^{2} - {( \frac{1}{4} )}^{2} \: - \frac{4}{2}$

${(x + \frac{1}{4} )}^{2} = \frac{1}{16} + \frac{4}{2}$

(x + 1/4)² = 33/16

x + 1/4 = √33 / 4

x = (√33 - 1)/4

Hope it helps