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2 years ago

Find the discriminant, and determine the number of real solutions. then solve 2x^2+3x-9=0

1 answer:

7 0

Discriminant =
b² - 4ac

3² - 4(2)(- 9)
9 + 72
81

Your equation has two real solutions.

2x² + 3x - 9 = 0
2x² + 6x - 3x - 9 = 0
2x(x + 3) - 3(x + 3) = 0

(2x - 3)(x + 3) = 0

Set each equal to zero:

2x - 3 = 0
2x = 3
x = 3/2

x + 3 = 0
x = - 3

Your two solutions are x = - 3, 3/2

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2 years ago

What is the value of x for which m || n? x = 40 x = 5 x = 105 x = 30

QveST [7]

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(A) x=40

Step-by-step explanation:

Given: It is given that m is parallel to n.

To find: The value of x.

Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.

Thus, $105^{\circ}=3x-15^{\circ}$

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3 years ago

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