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hey please help me answer my math problem :

instruction :
Use values of  a,b,c to determine the sum and products of the roots. See if you can give the roots by using the sum and product.

                                             sum                         product                        root

1. x2+4x+3 = 0
2. 6x2+12x-18 = 0
3. x2+4x-21 = 0
4.2x2+3x-2 = 0
5. 3x2-10x-8 = 0
6. 4x2+8x+3 = 0
7. 9x2-6x+8 = 0
8. 8x2-6x+9 = 0
9. 10x2-9x+6 = 0
 

Sagot :

equation of sum: r∨1+r∨2 = -b/a
equation of product: r∨1×r∨2= c/a 

1. x2+4x+3 = 0
a=1; b=4; c=3
the sum is -4 and product is 3

2. 6x2+12x-18 = 0
a=6; b=12; c=-18
the sum is -2 and product is -3

3. x2+4x-21 = 0
a=1; b=4; c=-21
the sum is -4 and product is -21

4.2x2+3x-2 = 0
a=2; b=3; c=-2
the sum is -3/2 and product is -1

5. 3x2-10x-8 = 0
a=3; b=-10; c=-8
the sum is 10/3 and product is -8/3

6. 4x2+8x+3 = 0
a=4; b=8; c=3
the sum is -2 and product is 3/4

7. 9x2-6x+8 = 0
a=9; b=-6; c=8
the sum is 2/3 and product is 8/9

8. 8x2-6x+9 = 0
a=8; b= -6; c=9
the sum is 3/4 and product is 9/8

9. 10x2-9x+6 = 0
a=10; b=-9; c=6
the sum is 9/10 and product is 3/5
sum of roots: x+x = -b/a
product of roots c/a
1. sum -4 while the product is 3
2. -2, -3
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