2 answers:
Answer:
x = {-4, 4}
Step-by-step explanation:
Subtracting 3 gives ...
5x^2 = 80
Dividing by 5, we get ...
x^2 = 16
Taking the square root gives the solutions ...
x = ±4
The smaller value of x is -4; the larger value is 4.
answer:
x= 4
x= -4
explanation:
5x^2+3=83
subtract 3 from both sides
5x^2-80=0
divide both sides by 5
x^2-16=0
consider x^2-16. rewrite x^2-16 as x^2-4^2. The difference of squares can be factored using the rule: a^2-b^2= (a-b)(a+b)
(x-4)(x+4)=0
to find the solutions, solve x
x-4=0 and x+4=0
for the first equation add 4 from both sides
x= 4
x+4=0
for the second equation, subtract both sides by 4
x= -4
------------
x= 4
x= -4
------------
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