factorize
20x^2-157x+222=0
^=power
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We have to factorize 20x² - 157x + 222.
Now, 20x² - 157x + 222
= 20x² - (120 + 37) x + 222
= 20x² - 120x - 37x + 222
= 20x (x - 6) - 37 (x - 6)
= (x - 6) (20x - 37)
This is the required factorization.
To find the solution.
Let, f (x) = 20x² - 157x + 222 = 0
or, (x - 6) (20x - 37) = 0
Either x - 6 = 0 or, 20x - 37 = 0
i.e., x = 6, 37/20
∴ the required solution is x = 6, 37/20
Note: To find the solution to any quadratic equation in of algebraic terms, try to investigate if factorization is possible there or use quadratic formula (Sridhar Acharya's formulal.
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