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katovenus [111]
3 years ago
7

Use the square roots property to solve the quadratic equation (y+150)2=50.

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

We can take the square root of both sides, adding a plus/minus sign of the right hand side:

\sqrt{(y+150)^2}=\pm\sqrt{50}\iff y+150 = \pm\sqrt{50}

Then, we subtract 150 from both sides:

y=\pm\sqrt{50}-150

So, the two solutions are

y_1 = \sqrt{50}-150,\quad y_2 = -\sqrt{50}-150

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