I'm having trouble helping my son answer this math problem..... the directions say to solve 8x^2 + 2x = 3

Question

Thanks for the answers but will someone walk me through each step?

Answer 1

Let me tell u that when the highest power in an equation will be 2, the equation is called Quadratic Equation.

When an equation has highest power 1, it will have 1 answer. When highest power is 2, it will have 2 answers. When highest power is 3, it will have 3 answers AND SO ON. So this equation will have 2 answers. Now we will solve it.

8x^2 + 2x = 3 .................... original eqation
8x^2 + 2x - 3 = 0

Now we will make factors.

Multiply +8 with -3, it will be -24. We make fators of - 24 which are:
(1)(-24)= -24
(-1)(24)= -24
(2)(-12)= -24
(6)(-4) = -24 an so on.

But we will select (6)(-4) because their sum will give u +2 which is the coefficient of x or middle term.

So we will write our equation as :

8x^2 +6x -4x -3 =0

Take 2x common from the first two terms and -1 from the third and fourth term. As shown:

2x ( 4x + 3 ) -1 (4x + 3 ) = 0

When the expressions in the two brakkets will be same then it means we have made correct factors. If not , then there was a mistake in factor selection. We will proceed as:

(4x + 3)(2x -1) = 0

What we did here? We have just put common expression first and the enclosed the remaining stuff in the second brakket.

The above equation shows that two things are multiplying and the answer is zero.

So either 4x + 3 is zero or 2x -1 is zero. Now give it a mathematical form as;

4x + 3= 0 or 2x - 1 = 0
4x = -3 2x = 1
x = -3/4 x = 1/2

So we got the two danm answers. One thing more ..........

(But first give me a glass of water please ......... )


Whenever you got more than one answer of "x" , write the answers in the form of solution set as:

Solution Set = { -3/4, 1/2 }


Still if you are having problem with this question, You probably need a TUTOR .....................

Answer 2

You have to factor the equation:

8x^2 +2x -3=0

(4x+3)(2x-1)

So x= -3/4, 1/2

Answer 3

8x^2+2x - 3 = 0
now you can either factor or use the quadratic formula to solve. Factoring is easier.

(4x +3)(2x-1)= 0
Set each part expression in paranthesis equal to zero.

4x+3 = 0 2x-1 = 0
4x=-3 2x= 1
x= -3/4 x=1/2

x = -3/4 or 1/2

Answer 4

3(2x + 4) = x + 17 6x + 12 = x + 17 5x = 5 x = 1.

Answer 5

8x² + 2x = 3
8x² + 2x - 3 = 0
d = 2² - 4*8*-3
d = 4 + 96
d = 100
x = (-2 +/- 10) : 2*8
x' = (-2 - 10) / 16 = -3/4
x" = (-2 + 10)/16 = 1/2
Solution: {x belongs to R| x' = -3/4 and x" = 1/2}
* = multiplication
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Answer 6

Well this has been answered enough so I'll say this

let the equation = 0 by bringing the 3 to the other side of the equals and change it's sign, it's a plus so it becomes a minus.

Then your son will either have to learn to factorise or just use the quadratic equation formula
http://www.gcse.com/maths/quadratic_formula.htm

Answer 7

8x² + 2x - 3 = 0
Factorise:-
(4x + 3).(2x - 1) = 0
(4x + 3) = 0 gives x = - 3 / 4
(2x - 1) = 0 gives x = 1 / 2
Solutions are x = (- 3/4), x = 1/2

Answer 8

This is a classic quadratic, 8x^2 + 2x - 3 = 0

which can be translated to ax^2 + bx + c = 0

using (-b +/ squareroot(b^2 - 4ac))/2a...

(-2 +/squareroot(2^2 - (4)(8)(-3)))/(2)(8), you have

(-2 +/squareroot(4 + 96))/16

(-2 + 10)/16, or (-2 - 10)/16

1/2 or -3/4

Answer 9

set it equal to zero, factor and then solve for x

8x^2 +2x-3=0
(2x-1)(4x+3)=0

x= -3/4 or 1/2

Answer 10

8x^2 + 2x = 3 or 8x¨2+2x-3=0
8x¨2+6x-4x-3=0
2x(4x+3)-1(4x+3)=0
(2x-1)(4x+3)=0
x=1;2, (0.75 answer
solved by factorization.Could use quadratic equation formula as well. try!