Question

can you explain completing the square method by example of 2x(sq.)-5x+3=0 ?????? asap​

Answer 1

Answer:

x = 3/2, x = 1

Step-by-step explanation:

2x² - 5x + 3 = 0

==> (2x²/2) - (5/2)x + (3/2) = 0

==> x² - (5/2)x + (3/2) = 0

Add and subtract (3/2)²,

==> x² - (5x/2) + (3/2) + (5/4)² - (5/4)² = 0

==> (x - 5/4)² + (3/2) - (5/4)² = 0

==> (x - 5/4)² = (1/4)²

==> (x - 5/4) = ± (1/4)

Solving,

(1)

(x - 5/4) = 1/4

==> x = 3/2

(2)

(x - 5/4) = -1/2

==> x = 1

Thus,

x = 3/2 and x = 1