Q. Solve for x. Enter the solutions from least to greatest.Round to two decimal places.(x+15)2−10=0lesser x=greater x=
Write and prepare equation: Write down the given equation and prepare to solve for x.Given equation: (x+15)2−10=0We need to solve for x by isolating the term with x on one side of the equation.
Isolate squared term: Add 10 to both sides of the equation to isolate the squared term.(x+15)2−10+10=0+10(x+15)2=10
Take square root: Take the square root of both sides of the equation to solve for x+15.(x+15)2=±10x+15=±10
Subtract 15: Subtract 15 from both sides of the equation to solve for x.x+15−15=±10−15x=±10−15
Calculate numerical values: Calculate the numerical values of x, rounding to two decimal places.x=10−15≈3.16−15≈−11.84 (lesser value)x=−10−15≈−3.16−15≈−18.16 (greater value)Note: The "greater" and "lesser" labels seem to be reversed here, as −18.16 is less than −11.84. We will correct this in the final answer.
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