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Find the value of y y2 − 4 = 45 y=?

Mathematics

ScanSolve AI Answer

Answer

y=±7y = \pm 7

Step-by-step solution

2 steps

To find the value of yy, we need to solve the given equation y2−4=45y^2 - 4 = 45.

  1. Add 4 to both sides of the equation to isolate the y2y^2 term.

    y2−4+4=45+4y^2 - 4 + 4 = 45 + 4 y2=49y^2 = 49

  2. Take the square root of both sides to solve for yy.

    Remember that taking the square root results in both a positive and a negative solution.

    y2=±49\sqrt{y^2} = \pm\sqrt{49} y=±7y = \pm 7

    The value of yy is:

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