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slavikrds [6]
2 years ago
13

1. 0 = 2x2 + 17x + 30

Mathematics
2 answers:
Anna11 [10]2 years ago
8 0

Answer:

Simplify the equation and find the value of x

Step-by-step explanation:

1 = 34 + 17x \\  - 17x =  - 1 + 34 \\ 17x =  - 33 \\  \\ x =  -  \frac{33}{17}

horrorfan [7]2 years ago
5 0

Answer:

X=(2.5, 6)

Step-by-step explanation:

Simplifying

2x2 + -17x = -30 , Reorder the terms:  -17x + 2x2 = -30

Solving

-17x + 2x2 = -30

Solving for variable 'x'.

Reorder the terms:

30 + -17x + 2x2 = -30 + 30

Combine like terms: -30 + 30 = 0

30 + -17x + 2x2 = 0

Factor a trinomial.

(5 + -2x)(6 + -1x) = 0

Subproblem 1

Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying

5 + -2x = 0

Solving

5 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0

0 + -2x = 0 + -5

-2x = 0 + -5

Combine like terms: 0 + -5 = -5

-2x = -5

Divide each side by '-2'.

x = 2.5

Simplifying

x = 2.5

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying

6 + -1x = 0

Solving

6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -1x = 0 + -6

-1x = 0 + -6

Combine like terms: 0 + -6 = -6

-1x = -6

Divide each side by '-1'.

x = 6

Simplifying

x = 6

Solution

x = {2.5, 6}

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