# What is the solution set of x^{2}-10=30x？

-220, 250

-250, 220

15-235, 15+235

-15-235,-15+235

**Solution:**

x^{2}-10=30x [Given]

It can be written as

x^{2} - 30x = 10

Now add 225 on both sides

x^{2} - 30x + 225 = 10 + 225

x^{2} - 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.

## What is the solution set of x^{2}-10=30x？

-220, 250

-250, 220

15-235, 15+235

-15-235,-15+235

**Summary: **

The solution set of x^{2}-10=30x is 15 ± √235.

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