Question

Solve they following quadratic equation extracting of roots

1.x²–49=0
2.9a²–25=0
3.4c²+1=37
4.x²=144
5.5(x+7)²=1125

pleas pa help bukas na agad❗❗
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Answer 1

1. x = 7 or x = -7

2. a = -5/3 or a = 5/3

3. c = 3 or c= -3

4. x =12 or x = -12

5. x = -22 or x = 8

Explanation:

1. X^2 - 49 = 0

(x+7)(x-7) = 0

x+7 = 0 x = -7

x - 7 = 0. x = 7

2. 9a^2-25=0. (a^2+b^2) (a^2-b^2) = (a+b)(a-b)

(3a+5)(3a-5)=0

3a+5 = 0 or 3a-5=0

a = -5/3 or a = 5/3

3. 4c^2+1=37

4c^2 = 37-1

c^2 = 36/4

c = +-square root of 9

c = 3 or c=-3

4. x^2 = 144

x = +- square root of 144

x = 12 or x= -12

5. 5(x+7)^2 = 1125

(x+7)^2 = 1125/5

(x+7)^2 = 225

x+7 = +- square root of 225

x+7 = +- 15

x = -15-7 or x= 15-7

x = -22 or x = 8