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Use the quadratic formula to write a quadratic equation that has the solutions x=-4 ± 2/6.

Use the quadratic formula to write a quadratic equation that has the solutions x=-4 ± 2/6.-example-1
User Levar
by
2.8k points

2 Answers

5 votes
5 votes

Answer:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

User Mike Weller
by
2.6k points
16 votes
16 votes

Explanation:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

User Sheo Dayal Singh
by
2.8k points
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