Mathematics: If f(x)=4x^2-6 find all x such that f(x)= 106

(-3,6)First you minus 2 from x to get -1Then you minus 1 from y to get 2Then multiply both by three to get(-3,6)...

If f(x)=4x^2-6 find all x such that f(x)= 106

cofran

01.02.2022

$2\sqrt7,-2\sqrt7$

Step-by-step explanation:

So we have the function:

f(x)=4x^2-6

And we want to find all x such that f(x) is 106. So, substitute 106 for f(x):

106=4x^2-6

Add 6 to both sides:

112=4x^2

Divide both sides by 4:

x^2=28

Take the square root of both sides:

$x=\pm\sqrt{28}$

Simplify the square root:

$x=\pm\sqrt{28}=\pm\sqrt{4\cdot 7}=\pm2\sqrt7$

So, those are the two values that will satisfy our requirement.

And we're done!

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