Misalnya, v dan w adalah akar-akar persamaan kuadrat 2x²-x+3= 0. Tentukan nilai-nilai berikut tanpa mencari akar-akarnya terlebih dahulu. a. v+w b. v.w d. 1/v+1 + 1/w+1

<p>Jawaban &nbsp;</p><p>a. <strong>½</strong></p><p>b. <strong>3/2</strong></p><p>c. <strong>5/4</strong></p><p>&nbsp;</p><p><strong>Pembahasan&nbsp;</strong></p><p>2x² - x + 3 = 0</p><p>maka</p><p>x1 + x2 = -b/a</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -(-1)/2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = ½</p><p>&nbsp;</p><p>x1.x2 = c/a</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3/2</p><p>&nbsp;</p><p>a. v + w = ½</p><p>b. v.w = 3/2</p><p>&nbsp;</p><p>c. 1/(v+1) + 1/(w+1) = [(w+1)+(v+1)]/[(v+1)(w+1)]</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (v + w + 2)/(v + w + v.w)&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (½ + 2)/(½ &nbsp;+ &nbsp;3/2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (5/2)/2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 5/4</p>