Question

solve by using quadraic forula: x²-3x+1=0​

Answer 1

Answer:

x²-3x+1=0

a=1

b=-3

c=1

x = -b±√b²-4ac

_________

2a

x = -3±√-3²-4×1×1

__________

2×1

x = -3±√9-4

______

2

x = -3±√5

_____

2

Answer 2

Answer:

Given Information:

The given quadratic equation is $x^{2} -3x+1=0$.

It is required to factorize the given quadratic equation by using quadratic formula.

How to factorize a quadratic equation ?

use quadratic formula

x= -b±√b²-4ac

        2ac

Now,

$ax^{2} +bx+c=0$

$1x^{2} -3x+1=0$

a=1

b=-3

c=1

Put the value of a, b, and c in quadratic formula

x= -b±√b²-4ac

         2ac

x = -(-3)±√(-3)²-4×1×1

           2×1×1

x = 3±√9-4

         2

x = 3±√5

        2

x = 3±2.236

          2

So,

$x_{1}=\frac{3+2.236}{2} \\\\x_{1}=\frac{5.236}{2}\\\\x_{1}=2.618\\\\x_{2}=\frac{3-2.236}{2} \\\\x_{2}=\frac{0.764}{2}\\\\x_{2}=0.382$

so, $x_{1} = 2.618 , x_{2} =0.382$

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