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frozen [14]
3 years ago
15

Solve the following quadratic equations by extracting square roots.Answer the questions that follow.

Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0

Answer:

1.+4,-4\\2. +9,-9\\3. +10,-10\\4. +12, -12\\5. +5, -5

Step-by-step explanation:

IN order to solve the quadratic equations you just have to solve the square root of the numeric part of the equation:

x^{2} =16\\x=\sqrt{16}\\ x= +4, -4

t^{2} =16\\t=\sqrt{81}\\ x= +9, -9

r^{2} =100\\r=\sqrt{100}\\ x= +10, -10

x^{2} -144=0\\x=\sqrt{144}\\ x= +12, -12

2s^{2}=50\\s^{2}=\frac{50}{2} \\s=\sqrt{25}\\ s= +5, -5

Just remember that the solution for any square root will always be a negative and a positive number.

Vikentia [17]3 years ago
4 0

Answer:

1.  x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

Taking square root on both sides

\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\

x=±4

2. t^2=81

Taking square root on both sides

\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}

t=±9

3. r^2-100=0

r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}

r=±10

4. x²-144=0

x²=144

Taking square root on both sides

\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}

x=±12

5. 2s²=50

\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}

s=±5 ..

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