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Use the quadratic formula to solve the equation
25x^2-30x+25=0

1 Answer

3 votes

Answer:
x=(3)/(5)+i(4)/(5),\:x=(3)/(5)-i(4)/(5)

Explanation:


25x^2-30x+25=0


x_(1,\:2)=(-\left(-30\right)\pm √(\left(-30\right)^2-4\cdot \:25\cdot \:25))/(2\cdot \:25)


√(\left(-30\right)^2-4\cdot \:25\cdot \:25)


=√(30^2-4\cdot \:25\cdot \:25)


=√(30^2-2500)


=i√(2500-30^2)


=40i


x_(1,\:2)=(-\left(-30\right)\pm \:40i)/(2\cdot \:25)


x_1=(-\left(-30\right)+40i)/(2\cdot \:25),\:x_2=(-\left(-30\right)-40i)/(2\cdot \:25)


x=(3)/(5)+i(4)/(5),\:x=(3)/(5)-i(4)/(5)

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