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3 years ago

Solve the equation by factoring 2x^2+7x=4

Mathematics

2 answers:

Softa [21]3 years ago

6 0

Answer:

x = - 4 , x = $\frac{1}{2}$

Step-by-step explanation:

given 2x² + 7x = 4

rearrange into standard form : ax² + bx + c = 0 : a ≠ 0

subtract 4 from both sides

2x² + 7x - 4 = 0 ← in standard form

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term, that is

product = 2 × - 4 = - 8 and sum = + 7

The factors are + 8 and - 1

use these factors to split the middle term

2x² + 8x - x - 4 = 0 ( factor by grouping first/second and third/fourth terms )

2x(x + 4) - 1(x + 4) = 0 ( take out the common factor (x + 4) )

(x + 4)(2x - 1) = 0

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$

Ronch [10]3 years ago

4 0

Answer:

2x^2+7x=4. I got x = -4 or x = 0.5

Step-by-step explanation:

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Y’all I need help on #9

Artist 52 [7]

Answer:

$8° = y$

$12° = x$

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$11° = z$

$7° = y$

$23 = x$

Step-by-step explanation:

What you need to know

- $m∠K ≅ m∠W; KB = WM$

- $m∠G ≅ m∠T; KG = WT$

- $m∠B ≅ m∠M; GB = TM$

45° = [4x - 3]°

+ 3° + 3°

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$\frac{48°}{4°} = \frac{[4x]°}{4°} \\ \\ 12° = x$

Then use the Triangular Interior Angles Theorem to find the $m∠M$ then set that equal to the $m∠B$ :

180° = 41° + 45° + $m∠M$

180° = 86° + $m∠M$

- 86° - 86°

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94° = $m∠M$

94° = [11y + 6]°

- 6° - 6°

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$\frac{88°}{11°} = {[11y]°}{11°} \\ \\ 8° = y$

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What you need to know

- $m∠H ≅ m∠S; HC = SP$

- $m∠F ≅ m∠R; CS = RP$

- $m∠C ≅ m∠P; HF = SR$

90° = [13y - 1]°

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$\frac{91°}{13°} = \frac{[13y]°}{13°} \\ \\ 7° = y \\ \\ 90° = m∠R$

Then use the Triangular Interior Angles Theorem to find the $m∠S$ then set that equal to the $m∠H$ :

180° = 28° + 90° + $m∠S$

180° = 118° + $m∠S$

- 118° - 118°

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I am joyous to assist you anytime.

7 0

3 years ago

What is the measure of x?

krok68 [10]

Answer:

Step-by-step explanation:

the sum of the two angles is 90 degrees

x + 52 = 90

x = 38 degrees

3 0

3 years ago

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*brainliest for best answer thank you* Solve for b.

vekshin1

Hello from MrBillDoesMath!

Answer:

The fourth choice, b = +\- sqrt( sg + a^2)

Discussion:

s = (b^2 - a^2)/g => multiply both sides by "g"

sg = b^2 - a^2 => add a^2 to both sides

sg + a^2 = b^2 => take the square root of each side

b = +\- sqrt( sg + a^2)

which is the fourth choice.

Thank you,

MrB

7 0

3 years ago

I’m so bad at this ughhhhhhhhhhhhhhhhhhh

Alexus [3.1K]

Answer:

a)6

b)v^2-u^2/2a

Step-by-step explanation:

a)Given that,

u=12

a= -6

s=9

We know that,

v^2=u^2+2as

or, v^2=(12)^2+2×(-6)×9

or,v^2=144-108

or,v^2=36

or, v=√36

∴v=6

(Ans)

b)If ,v^2=u^2+2as

then, u^2+2as=v^2

or,2as=v^2-u^2

or, s=v^2-u^2/2a

∴s=v^2-u^2/2a

Hope ya find it helpful.. Thanks a lot...

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3 years ago

HELP PLEASE WORTH 100 Points

Harlamova29_29 [7]

Well it’s ok I just have no problem I don’t have any time to talk to answer A

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