What is the solution set of x²-10=30x？
-220, 250
-250, 220
15-235, 15+235
-15-235,-15+235

Solution:

x²-10=30x [Given]

It can be written as

x² - 30x = 10

Now add 225 on both sides

x² - 30x + 225 = 10 + 225

x² - 30x + 225 = 235

So we get

(x - 15)² = 235

Taking the square root on the other side

x - 15 = √235

Here

x = 15 ± √235

Therefore, the solution set is 15 ± √235.

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What is the solution set of x²-10=30x？
-220, 250
-250, 220
15-235, 15+235
-15-235,-15+235

Summary:

The solution set of x²-10=30x is 15 ± √235.