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katrin2010 [14]
2 years ago
13

Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.

Mathematics
1 answer:
Slav-nsk [51]2 years ago
5 0

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

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topjm [15]

Answer:

2 days

Step-by-step explanation:

Use the given formula

y = 5x + 4

The information:

y is the money spent

x is the number of days

It is known that Justin spent $18

so now just substitute in that value

$18 = 5x + 4

and simplfiy by inverse operations

18 = 5x + 4

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meaning that the final answer is 2 full days

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3 years ago
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3 years ago
Find the values of x and y that makes each equation true. –(5y)i+12=4x+25i
vovikov84 [41]

Equate real part and imaginary part:

LHS:

real part -- 12

imaginary part -- 5y

RHS:

real part = 4x

imaginary part = 25

Equating::

12 = 4x

x = 12/4

x = 3

Again:

5y = 25

y = 25/5

y = 5

So,

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1 year ago
hi PLLSS HELP solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation? {–22, 14} {–14, 22} {–10,
Anuta_ua [19.1K]

Answer:

{ - 2, 10 }

Step-by-step explanation:

Given

x² - 8x = 20

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add ( half the coefficient of the x- term )² to both sides

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3 years ago
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Step-by-step explanation:

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3 years ago
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