Cannot solve quadratic equation through product sum product

kinkonillohup

kinkonillohup

Answered question

2022-03-18

Cannot solve quadratic equation through product sum product when the the first product is fraction
163x22x45=0

Answer & Explanation

Roland Ramsey

Roland Ramsey

Beginner2022-03-19Added 4 answers

163x2-2x-45=0

16x2-6x-135=0

(4x-34)2-3242-135=0

(4x-34)2=135+916=216916
You can finish the rest yourself. The right hand side is not a nice square, so the solutions are not rational numbers, and it is therefore not surprising that they cannot be found by trying to factorise the original quadratic. Directly applying the quadratic formula is easier than completing the square in a case like this.

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