The roots of 7x^2 + x - 5 = 0 are a and b Compute (a - 4)(b - 4).
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Answered by
5
Answer:
15 6/7
Step-by-step explanation:
The roots of 7x^2 + x - 5 = 0 are a and b.
Compute (a - 4)(b - 4).
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Use of this information:
- For the quadratic equation ax^2+bx+c=0, the sum of its roots = –b/a and the product of its roots = c/a.
In given case:
- sum of roots=a+b= - 1/7
- product of roots=ab= -5/7
Now let's find the value of (a-4)(b-4)
- (a-4)(b-4)=
- ab-4(a+b)+16=
- -5/7-4(-1/7)+16=
- -1/7+16=
- 15 6/7
Answer is 15 6/7
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