Solve the following quadratics equation for all values of x in simplest form 9(3x - 7) ^2= 16

Mathematics

1 answer:

vichka [17]3 years ago

7 0

Answer:

x= 17 /9 or x= 25 /9

Step-by-step explanation:

9(3x - 7) ^2= 16

9(3x - 7) ^2-16= 0

as we know that (a-b)^2=a^2-2ab+b^2

9((3x)^2-2(3x)(7)+(7)^2=0

solving this we got the below equation

81x2−378x+425=0

By Factorizing the equation

(9x−17)(9x−25)=0

9x−17=0 or 9x−25=0

x= 17 /9 or x= 25 /9

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