Quadratic Equations By Extracting Square Roots., 1. X^2=16, 2. T^2=81, 3. R^2-100=0, 4. X^2-144=0, 5. 2s^2=50, 6. 4x^2-225=0, 7. 3h^2-147=0, 8. (X-4)^

Quadratic equations by extracting square roots.

1. x^2=16
2. t^2=81
3. r^2-100=0
4. x^2-144=0
5. 2s^2=50
6. 4x^2-225=0
7. 3h^2-147=0
8. (x-4)^2=169
9. (k+7)^2=289
10. (2s-1)^2=225

Pa help po. Thank youuuu po!

 

1.

x^{2} = 16\\ \sqrt{x^{2}} = \sqrt{16}

x = ±4

2.

t^{2} = 81\\ \sqrt{t^{2} } = \sqrt{81}

t = ±9

3.

r^{2} - 100 = 0\\r^{2} = 100\\ \sqrt{r^{2} } = \sqrt{100}

r = ±10

4.

x^{2} - 144 = 0\\ x^{2} = 144\\ \sqrt{x^{2} } = \sqrt{144}

x = ±12

5.

2s^{2} = 50\\ \frac{2s^{2} }{2} = \frac{50}{2} \\ s^{2} = 25\\ \sqrt{s^{2} } = \sqrt{25}

s = ±5

6.

4x^{2} - 225 = 0\\ 4x^{2} = 225\\ \frac{4x^{2} }{4} = \frac{225}{4} \\x^{2} = \frac{225}{4}\\ \sqrt{x^{2} } = \sqrt{\frac{225}{4}}

x = ±\frac{15}{2} or ±7\frac{1}{2}

7.

3h^{2} - 147 = 0\\ 3h^{2} = 147\\ \frac{3h^{2} }{3} = \frac{147}{3} \\ h^{2} = 49\\ \sqrt{h^{2} } = \sqrt{49}

h = ±7

8.

(x-4)^{2} = 169\\ \sqrt{(x-4)^{2}} = \sqrt{169}

x - 4 = ±13

x - 4 = 13 | x - 4 = -13

x = 13 + 4 | x = -13 + 4

x = 17 | 9

9.

(k+7)^{2} = 289\\ \sqrt{(k+7)^{2}} = \sqrt{289}

k+7 =±17

k + 7 = 17 | k +7 = -17

k = 17 - 7 | k = -17 -7

k = 10 | -24

10.

(2s-1)^{2} = 225\\ \sqrt{(2s-1)^{2}} = \sqrt{225}

2s -1 =±15

2s - 1 = 15 | 2s - 1 = -15\\ 2s = 15 +1 | 2s = -15 - 1\\ 2s= 16 | 2s = -14\\ \frac{2s}{2} = \frac{16}{2} | \frac{2s}{2} = \frac{-14}{2}

s = 8 | -7


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