The roots of the equation 2x^2+5x-6=0 are [tex]\frac{-5+\sqrt{73} }{4} \ and \frac{-5-\sqrt{73} }{4}[/tex]
Step-by-step explanation:
[tex]Given\ equation\ is\ 2x^2+5x-6=0[/tex]
we can find the roots using quadratic formula since this is a quadratic equation
[tex]The\ equation\ is\ of\ the\ form\ ax^2+bx+c=0\\here a=2\\b=5\\c=-6\\use\ quadratic\ formula\ \\x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-5\±\sqrt{5^2-4\times2\times-6} }{2\times2} \\=\frac{-5\±\sqrt{73} }{4} \\x=\frac{-5+\sqrt{73} }{4} \ or\ x=\frac{-5-\sqrt{73} }{4}[/tex]
