solve by quadratic formula 1/3 x^2-3/2 x+5/3 =0

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13 x²−32 x+53 =0

Solution

x=52 , x=2

Decimal

x=2.5, x=2

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Solve by:

Quadratic formula

Completing the square

Factoring method

One step at a time

13 x²−32 x+53 =0

Find Least Common Multiplier of 3, 2: 6

Multiply by LCM=6

13 x²· 6−32 x· 6+53 · 6=0· 6

Simplify

2x²−9x+10=0

Solve with the quadratic formula

x_{1, 2}=−(−9)± √(−9)²−4· 2· 102· 2

√(−9)²−4· 2· 10=1

x_{1, 2}=−(−9)± 12· 2

Separate the solutions

x₁=−(−9)+12· 2 , x₂=−(−9)−12· 2

x=−(−9)+12· 2 : 52

x=−(−9)−12· 2 : 2

The solutions to the quadratic equation are:

x=52 , x=2

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

solve by quadratic formula 1/3 x^2-3/2 x+5/3 =0

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