Saved Bookmarks
| 1. |
What is the discriminant of the quadratic equation 2x^2-7x-3=0? |
|
Answer» 2x² - 7x - 3 = 0To find :DiscriminantSolution :For quadratic equations given by ax² + BX + c = 0,Discriminant is given byD = b² - 4ac .ALSO , ifD < 0 , no real solution/ zeros of given equationD = 0 , Only one real solution/zeros of given EquationD > 0 , Two real and different real Solution/zeros of given equationNow , COMPARING given quadratic equations ( 2x² - 7x - 3 = 0 ) , with General quadratic equations ( ax² + bx + c = 0 ), we geta = 2b = (-7)c = (-3)Therefore, D = (-7)² - (4)(2)(-3)D = 49 - (-24)D = 49 + 24D = 73[ Note - As D > 0 , this equation will have two real and different real Solution/zeros. ]ANSWER : Discriminant = 73 |
|