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Vladimir79 [104]
3 years ago
5

Solve −2x2 +3x − 9 = 0. (2 points)

Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

Option A) x equals quantity of 3 plus or minus 3i square root of 7 all over 4.

Step-by-step explanation:

We are given the quadratic equation:

-2x^2 +3x - 9 = 0

To find the solution to this quadratic equation, we use the quadratic formula:

ax^2 + bx + c = 0\\\\x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\text{where a is the coefficient of } x^2\text{, b is the coefficient of x and c is the constnt term of the eqution.}

Putting the value of a, b and c in the quadratic formula:

a = -2\\b = 3\\c = -9\\\\x = \displaystyle\frac{-3 \pm \sqrt{3^2 - 4(-2)(-9)}}{2(-2)}\\\\x = \frac{-3 \pm \sqrt{-63} }{-4}\\\\x = \frac{-3 \pm 3i\sqrt7}{-4}\\\\x = \frac{3 \mp3i\sqrt7}{4}

Hence, the correct option is option A) x equals quantity of 3 plus or minus 3i square root of 7 all over 4.

nadya68 [22]3 years ago
3 0

Answer:

Option A

Step-by-step explanation:

We have to find the solution of -2x^{2}+3x-9=0

By quadratic formula

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

=\frac{-3\pm \sqrt{(3)^{2}-4(-2)(-9)}}{2(-2)}

=\frac{-3\pm \sqrt{9-72}}{-4}

=\frac{3\mp \sqrt{-63}}{4}

\frac{3\mp 3\sqrt{-7}}{4}=[\frac{3\mp 3i\sqrt{7}}{4}]

Option A is the answer.

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Answer:

a set of two or more equations, each containing two or more variables whose values can simultaneously satisfy both or all the equations in the set, the number of variables being equal to or less than the number of equations in the set.

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It works because of two properties of equations: Multiplying (or dividing) the expression on each side by the same number does not alter the equation. Adding two equations produces another valid equation: e.g. 2x = x + 10 (x = 10) and x − 3 = 7 (x also = 10).

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Solve the equation for y. Then find the value of Y for each value of X.
Hunter-Best [27]

Answer:

y=9-7x

If x= -1, y=16

If x= 0, y=9

If x=2, y= -5

Step-by-step explanation:

Because you are solving the equation for y, you want to have y by itself on one side. The only way to do that in this problem is by subtracting the 7x on both sides.

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-7x -7x ---> y=9-7x

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