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irakobra [83]
2 years ago
7

I got a maths equation which i don't really get how to work out, the question is : solve 4x^2+x-3=0

Mathematics
1 answer:
Maru [420]2 years ago
6 0

The solutions for the given equation 4x^2+x-3=0 are x = -1 and x = 3/4. Using the quadratic formula, the solutions for the given equation are calculated.

<h3>What is the quadratic formula?</h3>

The formula which is used to calculate the roots(solutions) of the quadratic equation in the form ax^2+bx+c=0 is

x = [- b ± \sqrt{b^2-4ac}]/2a

<h3>Calculation:</h3>

The given equation is 4x^2+x-3=0

In comparison with the standard form of quadratic equation ax^2+bx+c=0,

we get, a = 4, b = 1 and c = -3

So, solving the given equation using the quadratic formula,

x = [- b ± \sqrt{b^2-4ac}]/2a

  = [- 1 ± \sqrt{1-4(4)(-3)}]/2(4)

  = [-1 ± \sqrt{49}]/8

  = (-1 ± 7)/8

Thus, x =  (-1 + 7)/8 = 3/4 and x = (-1-7)/8 = -8/8 = -1

Therefore, the solutions of the given equation are x = -1 and x = 3/4.

Learn more about solving quadratic equations here:

brainly.com/question/1214333

#SPJ4

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