Find the value of y y2 - 4 = 45 y=?

August 10, 2026Mathematics

ScanSolve AI Answer

August 10, 2026

Answer

$y = \pm 7$

To find the value of $y$ , we need to solve the given equation $y^2 - 4 = 45$ .

Step 1: Add 4 to both sides of the equation to isolate the $y^2$ term. $y^2 - 4 + 4 = 45 + 4$ $y^2 = 49$

Step 2: Take the square root of both sides to solve for $y$ . Remember that taking the square root results in both a positive and a negative solution. $\sqrt{y^2} = \pm\sqrt{49}$ $y = \pm 7$

The value of $y$ is: $y = \pm 7$ That's 2 down. 3 left today — send the next one.

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Quick Answer

To find the value of y, we need to solve the given equation y^2 - 4 = 45. Step 1: Add 4 to both sides of the equation to isolate the y^2 term.

Asked on August 10, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on August 10, 2026

To find the value of y, we need to solve the given equation y^2 - 4 = 45. Step 1: Add 4 to both sides of the equation to isolate the y^2 term. y^2 - 4 + 4 = 45 + 4 y^2 = 49 Step 2: Take the square root of both sides to solve for y. Remember that taking the square root results in both a positive and a negative solution. sqrt(y^2) = ±sqrt(49) y = ± 7 The value of y is: y = ± 7 That's 2 down. 3 left today — send the next one.