SOLUTION: Whats an equation equivalent to the one below by writing the trinomial as a perfect square trinomial? {{{ 2x^2 + 3x - 5 = 0 }}} A.) {{{ 2x^2 + 3x + 9/4 = 29/4 }}} B.) {{{

Algebra ->  Equations -> SOLUTION: Whats an equation equivalent to the one below by writing the trinomial as a perfect square trinomial? {{{ 2x^2 + 3x - 5 = 0 }}} A.) {{{ 2x^2 + 3x + 9/4 = 29/4 }}} B.) {{{       Log On


   



Question 1030993: Whats an equation equivalent to the one below by writing the trinomial as a perfect square trinomial?
+2x%5E2+%2B+3x+-+5+=+0+
A.) +2x%5E2+%2B+3x+%2B+9%2F4+=+29%2F4+
B.) +x%5E2+%2B+3%2F2+x+%2B+9%2F16+=+49%2F16+
C.) +x%5E2+%2B+3%2F2+x+%2B+9%2F4+=+29%2F4+
D.) +x%5E2+%2B+3%2F2+x+%2B+9%2F16+=+-71%2F16+

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
First we divide by 2 and get
+2x%5E2+%2B+3x+-+5+=+0+
+x%5E2+%2B+%283%2F2%29x+-+5%2F2+=+0+
Take half of the middle coefficient and square it, then add that to both sides and get
x%5E2+%2B+%283%2F2%29x+%2B+9%2F16+-+5%2F2+=+9%2F16
x%5E2+%2B+%283%2F2%29x+%2B+9%2F16+=+49%2F16
Choice B is closest, but the x needs to be in the numerator.