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Split the middle term for a quadratic equations

 
Avantika Jadon
(@avantikajadon30)
New Member

If an equation is x^2-15x-6750 can you please simplify the split the middle term method. Because forming factors that will result in the addition as 15x is difficult for me

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Topic starter Posted : 08/06/2022 7:19 pm
Rahul Singh
(@rahul)
Admin

Hey @avantikajadon30

We can solve the equation x^2-15x-6750 = 0 by splitting the middle terms using factors of the last term (-6750) into it's factors which would add up to 15. two such factors of 6705 are (-90) + (75). 

hence we can write the above equation as: x^2-90x + 75x - 6750 = 0

=> x(x-90)+75(x-90) = 0

=> (x+75)(x-90)=0

Hence the roots of the equation are -90 and 75.

I hope this helps.

Happy learning!

 

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Posted : 23/08/2022 9:34 pm
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