4.tentukan nilai m agar fungsi kuadrat y=2x²-3x+m A.memotong sumbu x di dua titik. B.menyinggung sumbu x. C.tidak memotong maupun menyinggung sumbu x

<p>Jawaban yang tepat adalah</p><p>A. m &lt; 9/8</p><p>B. m = 9/8</p><p>C. m &gt; 9/8</p><p>&nbsp;</p><p>Pembahasan :</p><p>y = 2x² - 3x + m</p><p>a = 2, b = -3 dan c = m</p><p>D = b² - 4ac</p><p>&nbsp; &nbsp; = (-3)² - 4(2)(m)</p><p>&nbsp; &nbsp; = 9 - 8m</p><p>&nbsp;</p><p>A. &nbsp;Memotong sumbu x di dua titik (D &gt; 0)</p><p>&nbsp; &nbsp; &nbsp; D &gt; 0</p><p>&nbsp; &nbsp; &nbsp; 9 - 8m &gt; 0</p><p>&nbsp; &nbsp; &nbsp; 9 &nbsp;&gt; 8m</p><p>&nbsp; &nbsp; &nbsp; 9/8 &gt; m</p><p>&nbsp; &nbsp; &nbsp; m &lt; 9/8</p><p>&nbsp; &nbsp; &nbsp; Jadi supaya memotong sumbu x didua titik mama m &lt; 9/8</p><p>&nbsp;</p><p>B. Menyinggung sumbu x (D = 0)</p><p>&nbsp; &nbsp; &nbsp;D = 0</p><p>&nbsp; &nbsp; &nbsp;9 - 8m = 0</p><p>&nbsp; &nbsp; &nbsp;9 = 8m</p><p>&nbsp; &nbsp; &nbsp;m = 9/8</p><p>&nbsp; &nbsp; &nbsp;Jadi supaya menyinggu sumbu x maka m = 9/8</p><p>&nbsp;</p><p>C. &nbsp;Tidak memotong maupun menyinggung sumbu x (D &lt;0)</p><p>&nbsp; &nbsp; &nbsp; D &lt; 0</p><p>&nbsp; &nbsp; &nbsp; 9 - 8m &lt; 0</p><p>&nbsp; &nbsp; &nbsp; 9 &lt; 8m</p><p>&nbsp; &nbsp; &nbsp; 9/8 &lt; m</p><p>&nbsp; &nbsp; &nbsp; m &gt; 9/8</p><p>&nbsp; &nbsp; &nbsp; Jadi &nbsp;supaya tidak memotong maupun menyinggung sumbu x maka&nbsp;</p><p>&nbsp; &nbsp; &nbsp; m &gt; 9/8</p>