Elfuegoviz
Answered

directions:use the values of a,b,c of each of the following quadratic equations in determining the sum and the product of its roots.Verify your answer by obtaining the roots of the equation.                                                                                                            
can you help me answer this:
1. x2+4x+3=0
2. 6x2+12x -18=0
3. x2+4x-21=0  

Sagot :

Kaiusviz
Note that AX^2 - BX + C is the general formula of an quadratic equation, where B is the sum and C is the product of the roots. 1. X^2 + 4X + 3: Sum is - 7 and Product is 3. Roots: (X + 3)(X + 1), therefore, X = -1 and -3. 2. 6X^2 + 12X - 18 = 6(X^2 + 2X - 3): Sum is -2 and Product is -3. Roots: 6(X + 3)(X - 1), therefore, X = -3, 1. 3. X^2 + 4X - 21: Sum is -4 and Product is -21. Roots: (X + 7)(X - 3), therefore, X = -7, 3.