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Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x-6)^2-5=0 lesser x= , greater x=​

Sagot :

Answer: lesser x = 3.76 & greater x = 8.24

Step-by-step explanation: just took the test

For the given quadratic equation lesser x=3.765 and greater x=8.235.

The given quadratic equation is (x-6)²-5=0.

We need to find the solutions from least to greatest.

What is the formula to find the solution to the quadratic equation?

The formula to find the solution to the quadratic equation is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac }}{2a}[/tex].

Now, (x-6)²-5=0 can be written as x²-12x+31=0

Here, a=1, b=-12 and c=31

x=(12±√20)/2

⇒x=(12±4.47)/2

⇒x=3.765 or x=8.235

Therefore, lesser x=3.765 and greater x=8.235.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/17376136.

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