Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for yy.\newline −2+9y= 8y\sqrt{\,-2 + 9y} = \sqrt{\,8y}\newliney= ____y = \,\_\_\_\_

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Solve radical equationsright chevron icon

Full solution

Q. Solve for yy.\newline −2+9y= 8y\sqrt{\,-2 + 9y} = \sqrt{\,8y}\newliney= ____y = \,\_\_\_\_
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(−2+9y)2=(8y)2(\sqrt{-2 + 9y})^2 = (\sqrt{8y})^2\newline−2+9y=8y-2 + 9y = 8y
  2. Combine y terms: Since we have yy on both sides of the equation, we need to get all the yy terms on one side to solve for yy.9y−8y=29y - 8y = 2y=2y = 2
  3. Check solution: Check the solution by substituting yy back into the original equation to ensure both sides are equal.\newline(–2+9(2))=(8(2))\sqrt{(–2 + 9(2))} = \sqrt{(8(2))}\newline(16)=(16)\sqrt{(16)} = \sqrt{(16)}\newline4=44 = 4

More problems from Solve radical equations

Question
What is the domain of this function? \newliney=xy = \sqrt{x} \newlineChoices: \newline{x∣x≥0}\{x|x \geq 0\}\newline{x∣x≤0}\{x|x \leq 0\}\newline{x∣x<0}\{x | x < 0\}\newline{x∣x>0}\{x|x>0\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the real-number root. \newline16\sqrt{16}\newline\newlineWrite your answer in simplified form. \newline____\_\_\_\_
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the real-number root. \newline916\sqrt{\frac{9}{16}}\newlineSimplify your answer and write it as a decimal or as a proper or improper fraction.\newline_____\_\_\_\_\_
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth. \newline`\sqrt{957} `\newline _______
Get tutor helpright-arrow

Posted 2 months ago

Question
Multiply. Write your answer in simplest form. \newline273×42\sqrt{273} \times \sqrt{42}\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify. \newline634\sqrt{\frac{63}{4}}\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Rationalize the denominator.\newline−49−2\frac{-4}{9 - \sqrt{2}}\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for z z .\newline16=z 16 = \sqrt{z} \newlinez= z = _____
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for p p .\newline8=p 8 = \sqrt{p} \newlinep= p = _____
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for p p .\newline4p=10+3p \sqrt{4p} = \sqrt{10 + 3p} \newlinep= p = _____
Get tutor helpright-arrow

Posted 2 months ago

View all (183)