two equations help needed

R.M.

Junior Member
You've got a great start. Notice you have a quadratic. Where does that take you?

• hajfajv and Subhotosh Khan

hajfajv

New member
That gives me x(x-4)=-3 but that doesn't help isolate x?

BigBeachBanana

Full Member
That gives me x(x-4)=-3 but that doesn't help isolate x?

What do you feed a baby parabola?​

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• nerd and hajfajv

blamocur

Full Member
That gives me x(x-4)=-3 but that doesn't help isolate x?
No, it does not. Have you looked up "Quadratic equation" on internet?

• hajfajv

What do you feed a baby parabola?​

But I thought I was supposed to isolate x or y in one equation then input that result into another and then oh

blamocur

Full Member
But I thought I was supposed to isolate x or y in one equation then input that result into another and then oh
You did the right thing to reduce the system of two equations with two variables to a single equation with a single variable.
Now you need to solve the resulting quadratic equation.

• hajfajv

BigBeachBanana

Full Member
Are you sure that 2/2 = 4? Maybe that's your 1, just look like a 4.
You could've also done it through the method of grouping.
$x^2-4x+3=0\\ (x^2-x)+(-3x+3)=0\\ x(x-1)-3(x-1)=0\\ (x-1)(x-3)=0 \implies x=1, x=3$

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• hajfajv

R.M.

Junior Member
You could have also factored the quadratic: (x - 3)(x - 1) = 0. Saves a little calculating.

• hajfajv

hajfajv

New member
Pretty sure sqrt(4) is 2, 6/2 = 3 and 2/2 = 1?
Oh yea my 1's 4's and 9's are not reading friendly I'm terrible at factorizing quadratics and therefore tend to avoid it, so I need to work on that aspect.

I cannot remeber is seeing your grouping method, will look into that seems like a time saver.

lookagain

Elite Member

In your work, when you use the Quadratic Formula, you should be showing a, b, c being substituted correctly,
preferably each of them inside parentheses.

Also, x = 3 or x = 1. That corresponds with the "plus or minus" in the Quadratic Formula.

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lev888

Elite Member
Pretty sure sqrt(4) is 2, 6/2 = 3 and 2/2 = 1?
Oh yea my 1's 4's and 9's are not reading friendly I'm terrible at factorizing quadratics and therefore tend to avoid it, so I need to work on that aspect.

I cannot remeber is seeing your grouping method, will look into that seems like a time saver.
If you are familiar quadratic equations, may I ask why you are having difficulties with the problem?

• Jomo