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Mademuasel [1]
3 years ago
5

Solve for x in the equation ]x^{2} - 12x + 59 = 0

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
8 0

Step-by-step explanation:

x^{2} - 12x + 59 = 0

Given equaiton is in the form of ax^2 +bx+c=0

we apply quadratic formula to solve for x

x= \frac{-b+-\sqrt{b^2-4ac} }{2a}

a= 1  b = -12  and c= 59

x= \frac{12+-\sqrt{(-12)^2-4(1)(59)}}{2(1)}

x= \frac{12+-\sqrt{92}}{2}

x= \frac{12+-2\sqrt{23}}{2}

Divide the 12 and square root terms by 2

x=6+-\sqrt{23}

so x=6+\sqrt{23}    and    x=6-\sqrt{23}




Triss [41]3 years ago
3 0

Answer:

Solution for x:

6+\sqrt{23}i   and   6-\sqrt{23}i

Step-by-step explanation:

Given: x^2-12x+59=0

It is quadratic equation and to solve for x.

using quadratic formula:

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

where, a=1, b=-12 and c=59

Put the values into the formula

x=\dfrac{12\pm\sqrt{12^2-4\cdot 1\cdot -59}}{2(1)}

x=\dfrac{12\pm \sqrt{-92}}{2}

As we know, \sqrt{-1}=i

x=6\pm\sqrt{23}i

Exact value of x : 6+\sqrt{23}i   and   6-\sqrt{23}i

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