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krek1111 [17]
3 years ago
10

Solve 2x2 − 6x = −8.

Mathematics
2 answers:
Phantasy [73]3 years ago
7 0

Answer:

Option 4 - the quantity of 3 plus or minus i square root 7 all over 2

Step-by-step explanation:

Given : Expression 2x^2-6x=-8

To find : The solution of the expression ?

Solution :

Expression 2x^2-6x=-8 can be written as

2x^2-6x+8=0

x^2-3x+4=0

Solve by quadratic formula,

The general form of quadratic equation is ax^2+bx+c=0 with solution x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

On comparing with x^2-3x+4=0, a=1 , b=-3, c=4

Substitute in solution,

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

x=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(4)}}{2(1)}

x=\frac{3\pm\sqrt{9-16}}{2}

x=\frac{3\pm\sqrt{-7}}{2}

x=\frac{3\pmi\sqrt{7}}{2}

So, The solution is the quantity of 3 plus or minus i square root 7 all over 2.

Therefore, Option 4 is correct.

White raven [17]3 years ago
3 0
2x²-6x+8=0
x²-3x+4=0
D=b²-4ac=9-16=-7
x=(3+/-i√7)/2
correct answer is the last one
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