Answer:
1. x^2+10x+9=0
For this equation: a=1, b=10, c=9
x^2+10x+9=0
Step 1: Use quadratic formula with a=1, b=10, c=9.
x= −b±√b2−4ac
2a
x= −(10)±√(10)2−4(1)(9)
2(1)
x= −10±√64
2
x=−1 or x=−9
x= −1 or x= −9
2. 3x^2−4x=0
For this equation: a=3, b=-4, c=0
3x^2−4x+0=0
Step 1: Use quadratic formula with a=3, b=-4, c=0.
x= −(−4)±√(−4)2−4(3)(0)
2(3)
x= 4±√16
6
x= 4
3
or x=0
3. x2−12x=−35
Step 1: Subtract -35 from both sides.
x^2−12x−(−35)=−35−(−35)
x^2−12x+35=0
For this equation: a=1, b=-12, c=35
x^2-12x+35=0
Step 2: Use quadratic formula with a=1, b=-12, c=35.
x= −(−12)±√(−12)2−4(1)(35)
x= 12±√4
x= 7 or x= 5
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Answers & Comments
Answer:
1. x^2+10x+9=0
For this equation: a=1, b=10, c=9
x^2+10x+9=0
Step 1: Use quadratic formula with a=1, b=10, c=9.
x= −b±√b2−4ac
2a
x= −(10)±√(10)2−4(1)(9)
2(1)
x= −10±√64
2
x=−1 or x=−9
Answer:
x= −1 or x= −9
2. 3x^2−4x=0
For this equation: a=3, b=-4, c=0
3x^2−4x+0=0
Step 1: Use quadratic formula with a=3, b=-4, c=0.
x= −b±√b2−4ac
2a
x= −(−4)±√(−4)2−4(3)(0)
2(3)
x= 4±√16
6
x= 4
3
or x=0
Answer:
x= 4
3
or x=0
3. x2−12x=−35
Step 1: Subtract -35 from both sides.
x^2−12x−(−35)=−35−(−35)
x^2−12x+35=0
For this equation: a=1, b=-12, c=35
x^2-12x+35=0
Step 2: Use quadratic formula with a=1, b=-12, c=35.
x= −b±√b2−4ac
2a
x= −(−12)±√(−12)2−4(1)(35)
2(1)
x= 12±√4
2
x= 7 or x= 5
Answer:
x= 7 or x= 5