Part I. Directions: Solve the following quadratic equations by using the appropriate method.
1. x² - 10x = -21
2. 5x² - 45 = 0
3. p² +2p = 48
4. n²= 2n + 25
5. y(y - 7) = 44
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Part I. Directions: Solve the following quadratic equations by using the appropriate method.
1. x² - 10x = -21
2. 5x² - 45 = 0
3. p² +2p = 48
4. n²= 2n + 25
5. y(y - 7) = 44
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Answer:
1. x - 7 or x - 3
2. x = -3 or x = 3
3. p = 6 or p = -8
4. n = 1 + √26 or n = 1 - √26
5. y = 11 or y = -4
Step by step explanation:
Hope it's help:)
Ty..
Answer:
Step-by-step explanation:
x2−10x=−21
Add 21 to both sides of the equation.
x2−10x−(−21)=−21−(−21)
Subtracting −21 from itself leaves 0.
x2−10x−(−21)=0
Subtract −21 from 0.
x2−10x+21=0
This equation is in standard form: ax2 +bx+c=0. Substitute 1 for a, −10 for b, and 21 for c in the quadratic formula,
2a −b± \sqrt b2 −4ac / 2a
x= −(−10)± \sqrt (−10)2 −4×21 / 2
Square −10.
x= −(−10)± \sqrt 100−4×21 / 2
Multiply −4 times 21.
x= −(−10)±\sqrt 100−84 / 2
Add 100 to −84.
x= −(−10)± \sqrt 16 / 2
Take the square root of 16.
x= −(−10)±4 / 2
The opposite of −10 is 10.
x= 10±4 / 2
Now solve the equation x=10±4 / 2 when ± is plus. Add 10 to 4.
x=14 / 2
Divide 14 by 2.
x=7
Now solve the equation x=10±4 / 2 when ± is minus. Subtract 4 from 10.
x= 6 / 2
Divide 6 by 2.
x=3
The equation is now solved.
x=7
x=3