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Excellent substitution with new variable t. This insight isn't obvious without extensive practice.
-6,-1,½ & 3 are 4 solutions
Wow. I would not have guessed that this equation had four real roots. Thank you.
I can’t think of any math concept that is commonly taught that is more damaging to students than using factor by grouping or the AC method for trinomials.
(17x)^3= 503x^3 ➖.{18x+18x+18x+18x ➖ 18x ➖ 18x}= 54x^3 {98x+98x+98x98x ➖ 98x ➖ 98x}= 294x^3 {54x^3+294x^3}=348x^6 {503x^3 ➖ 348x^6}= 165x^3 10^105^13x^3 2^52^55^13^1x^3 1^12^1^1^1^1x^3 2x^3 (x ➖ 3x+2) .
Excellent substitution with new variable t. This insight isn't obvious without extensive practice.
-6,-1,½ & 3 are 4 solutions
Wow. I would not have guessed that this equation had four real roots. Thank you.
I can’t think of any math concept that is commonly taught that is more damaging to students than using factor by grouping or the AC method for trinomials.
(17x)^3= 503x^3 ➖.{18x+18x+18x+18x ➖ 18x ➖ 18x}= 54x^3 {98x+98x+98x98x ➖ 98x ➖ 98x}= 294x^3 {54x^3+294x^3}=348x^6 {503x^3 ➖ 348x^6}= 165x^3 10^105^13x^3 2^52^55^13^1x^3 1^12^1^1^1^1x^3 2x^3 (x ➖ 3x+2) .