Directions: Solve for x in each equation in Column A and choose the correct answ...

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Maria2706 @Maria2706

February 2022 1 0 Report

Directions: Solve for x in each equation in Column A and choose the correct answer in Column B. Write the letter that Coressponds to the answer in the box provided below.

Patulong po please ≧﹏≦

Answers & Comments

MATH

Algebraic Equation involving Radicals

1.

$\sqrt[3]{x - 4} = 2 \\ \\ x - 4 = 8 \\ \\ x = 12$

2.

$4 + \sqrt{x - 2} = x \\ \\ \sqrt{x - 2} = x - 4 \\ \\ x - 2 = {x}^{2} - 8x + 16 \\ \\ 9x - 2= {x}^{2} + 16 \\ \\ 9x = {x}^{2} + 18 \\ \\ {x }^{2} - 9x + 18 = 0 \\ \\ (x - 6)(x - 3) = 0 \\ \\ (x - 6) = 0 \\ (x - 3) = 0 \\ \\ x = 6 \:and \: 3 \\ \\ (substitute \: to \: verify \: or \: extrct \: the \: real \: solution) \\ \\ 4 + \sqrt{x - 2} = x \\ \\ 4 + \sqrt{6 - 2} = 6 \\ \\ 6 = 6 \\ (true) \\ \\ 4 + \sqrt{x - 2} = x \\ \\ 4 + \sqrt{3 - 2} = 3 \\ \\ 4 + \sqrt{1} = 3 \\ \\ \sqrt{1} = - 1 \\ \\ 1 = - 1 \\ (false) \\ \\ real \: solution \: = 6$

3.

$\sqrt{4x} = 8 \\ \\ 4x = 64 \\ \\ x = 16$

4.

$\sqrt{3x - 5} = \sqrt{x + 19} \\ \\ 3x - 5 = x + 19 \\ \\ 2x = 24 \\ \\ x = 12$

5.

$8 - \sqrt{x} = 7 \\ \\ - \sqrt{x} = - 1 \\ \\ - x = - 1 \\ \\ x = 1$

6.

$\sqrt[3]{x} = 3 \sqrt[3]{7} \\ \\ x = 27 \times 7\\ \\ x = 189$

7.

$4 \sqrt{x} = 6 \\ \\ 16 \times x = = 6 \\ \\ 16x = 36 \\ \\ x = \frac{9}{4}$

1.) F

2.) O

3.) U

4.) F

5.) R

6.) L

7.) D

Therefore, the mystery word is RUDOLFF.

Maria2706 Thank you po ✨deserve✨

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