How can I solve this equation 5x^2-2x-6=-2x^2+9x

1 answer:

wel3 years ago

3 0

Add 2x^2 to both sides
7x^2-2x-6=9x

Subtract 9x from both sides
7x^2-11x-6=0

Factor by using slip and slide
x^2-11x-42
(x-14)(x+3)
(x-14/7)(x+3/7)
(x-2)(7x+3)

Then use the Zero Product Property to find roots
x-2=0
x=2

7x+3=0
7x=-3
x=-3/7

Final answer: x=-3/7, x=2

You might be interested in

Whatas the nth term of the geometric sequence 4,8,16,32

GenaCL600 [577]

The answer for your problem is $4n.$

5 0

3 years ago

Read 2 more answers

Based on one of the Triangle Congruence Postulates, the two triangles are shown are congruent

tankabanditka [31]

Answer:

true

Step-by-step explanation:

all the sides match up. One side (the base) is shared which means they are the same length. The triangle at the top has a single hash on a side and so does the bottom one. This means they are the same length. The same thing occurs with the last remaining sides, they are congruent because they both have two hash lines. Since all three sides of both triangle add up, the triangles ARE CONGRUENT.

3 0

3 years ago

When making a monthly budget, a family estimated they would spend

scoundrel [369]

they added the tax witch is 20% more than what the price tag says

7 0

2 years ago

Marta got 60% off a pair of shoes. If the

Alla [95]

$25! Think about it, to get $15.90 as your discounted price, the unknown number must be multiplied by 60% to get $15.90. If you wanna find the original price, do the opposite! What is $15.90 divided by .6? $25!

5 0

3 years ago

Read 2 more answers

Point E is on line segment DF. Given DE = 2x, EF = 2x – 6, and

Kamila [148]

Answer:

EF is 16.

Step-by-step explanation:

So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:

$DF=DE+EF$