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mars1129 [50]
3 years ago
6

-X² + 5x - 6 = 2 Using the quadratic formula

Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\

↝ Form into ax^2+bx+c = 0 where a > 0 (Optional)

x^2-5x+8=0 ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

↝ Solution with Real Numbers  System ↝  There are no real solutions.

↝ Solution with Complex Number System ↝

x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}

Therefore, the answer for Complex Number System is (5±√7i)/2

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