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Exercises Roots and quadratic equations

Example 9.77 from Elementary Algebra, 9.6 Solve Equations with Square Roots

Solve Equations with Square Roots: example 9.77

Solve: $\sqrt{3 y + 5} + 2 = 5$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

To isolate the radical, subtract 2 from both sides.

Simplify.

Square both sides of the equation.

Solve the new equation.

Check the answer.

The solution is $y = \frac{4}{3}$ .

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: $\sqrt{3 p + 3} + 3 = 5$ .

How did it go?

PreviousSolve Equations with Square Roots: example 9.76 Next Solve Equations with Square Roots: example 9.78

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 9.6, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.