give the roots of each equation​

The roots of the first equation are x = -4 and x = 9.The roots of the second equation are x = 5 and x = -3.Equation 1We need to find the roots of the following equation:[tex]\sf (x+4)(x-9)=0[/tex]To solve, we first need to set each factor equal to 0.[tex]\sf x+4=0[/tex]          and [tex]\sf x-9=0[/tex]Now, solve each equation. The solutions of these little equations are actually the roots of the original quadratic equation.[tex]\sf x =-4\qquad and\; x=9[/tex]Equation 2 We need to find the roots of the following equation:[tex]\sf (x-5)(2x+6)=0[/tex]Again, set each factor equal to 0:[tex]\sf x -5=0 \qquad \; and \;2x+6=0[/tex]Solve the equations.[tex]\sf x=5[/tex]              [tex]\sf 2x=-6[/tex]                        [tex]\sf x = -3[/tex]

Answered by Eloquence | 2024-09-04