/sci/ - Science & Math » Thread #11158076

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Math problem

Anonymous Mon 18 Nov 19:30:47 2019 No.11158076 View Reply Original Report

Quoted By: >>11158083 >>11158104

what parameter a is needed that
f(x)= -x^2 + 6x - 6 and g(x)= x^2 + 3x + a
touch eachother?

Anonymous

Anonymous Mon 18 Nov 2019 19:32:51 No.11158082 Report

Quoted By: >>11158086

a is less than or equal to 5

Anonymous

Anonymous Mon 18 Nov 2019 19:32:58 No.11158083 Report

Quoted By:

>>11158076
if x is 0 a is - 6

Anonymous

Anonymous Mon 18 Nov 2019 19:33:52 No.11158086 Report

Quoted By:

>>11158082
-5*

Anonymous

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Anonymous Mon 18 Nov 2019 19:41:41 No.11158104 Report

Quoted By: >>11158114

>>11158076
FLAN!
g(x)-f(x) needs to have at least one real zero, so
write out g(x)-f(x) = +2x^2 - 3x + 6 + a and compute the discriminant b^2 - 4ac = 9 - 4*2*(6+a), which must be larger than zero.

Anonymous

Anonymous Mon 18 Nov 2019 19:46:47 No.11158114 Report

Quoted By:

>>11158104
Unless touch stands for tangents, instead of crossing, then the discriminant had to be zero.

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