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makvit [3.9K]
3 years ago
10

Solve this quadratic equation. 6x2 - 2x = 7

Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Answer:

x₁ = (1 + √43)/6

x₂ = (1 - √43)/6

Step-by-step explanation:

6x² - 2x = 7

6x² - 2x - 7 = 0

Formula

ax² + bx + c = 0

a = 6 ; b = - 2 ; c = - 7

x₁/₂ = [-b ± √(b²- 4ac)]/2a

x₁/₂ = (2 ± √4 + 4×6×-7)/12

x₁/₂ = (2 ± √172)/12

x₁/₂ = (2 ± 2√43)/12

x₁/₂ = 2(1 ± √43)/12

x₁/₂ = (1 ± √43)/6

x₁ = (1 + √43)/6

x₂ = (1 - √43)/6

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Step-by-step explanation:

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3 years ago
HELP ASAP!!!!! Given: Point B is on the perpendicular bisector of AC¯¯¯¯¯. BD¯¯¯¯¯ bisects AC¯¯¯¯¯ at point D. Prove: B is equid
Harlamova29_29 [7]

Answer:  Missing parts are,

In first blank,  AD\cong DC,

In second blank, SAS postulate

In third blank, CPCTC postulate

Step-by-step explanation:

Since, Here D is the mid point on the line segment AC.

And BD is a perpendicular to the line AC.

Therefore, In triangles ADB and CDB ( shown in figure)

AD\cong DC ( By the definition of mid point)

\angle BDA\cong \angle BDC ( right angles )

BD\cong BD ( reflexive)

Thus, By SAS ( side angle side )postulate,

\triangle ADB\cong \triangle CDB

So, by CPCTC( Corresponding parts of congruent triangles are congruent)

AB\cong CB

Now, By definition of congruent segment,

AB=CB

By definition of equidistant,

B is equally far from both A and C.




7 0
3 years ago
Read 2 more answers
Two times the sum of a number and 8 is 20 what is the number
Andre45 [30]

Answer:

n=2

2(n+8)=20

2n+16=20

-16  -16

<u>2n=4</u>

2    2

n= 2

There u go love

Step-by-step explanation:

7 0
3 years ago
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-8x+3=8x+27 I need help plz I’m trash at math
belka [17]

Answer:

-1.5

Step-by-step explanation:

<u>See steps below:</u>

  • -8x+3=8x+27
  • -8x + 3 - 8x - 3 = 8x+ 27 - 8x - 3          ⇒ add -8x - 3 to both sides in order to collect like terms in the different sides of equation
  • -16x = 24                                               ⇒ simplified
  • x= 24/-16                                               ⇒ divide
  • x= - 1.5                                                   ⇒ answer
3 0
3 years ago
a certain area covers 4800km squared,the area decreases by 6.75% each year what will the area be in 13 years?
Darina [25.2K]

The answer is 588 because if you multiply 6.75 percent of 4800 by 13, and then subtract it from 4800, you get 588.

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