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Solve the following quadratic equations by extracting square roots.

1. x² = 36
2. x² = 81
3. x² - 100 = 0
4. (x - 4)² = 169
5. x² + 49 = 0​


Sagot :

Answer:

1. x²=36

> √x²=√36

> x=±6

2. x²=81

> √x²=√81

> x=±9

3. x²-100=0

> x²=100

> √x²=√100

> x=±10

4. (x-4)²=169

> √(x-4)²=√169

> x-4=13

> x-4=13; x-4=-13

> x=13+4=17; x-4=-13+4=9

> x=17, x=9

5. x²+49=0

> x²=-49

> √x²=√-49

> x=±7i or no real solution.