Question

In figure 2, find x if the perimeter is 4. Does each answer make sense? Why or why not?

Answer 1

The value of x is equal to 1.5.

It is required to find x.

What is quadratic equation?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

So for the triangle, the perimeter would be:

$(x^{2} +x+3)+(x^{2} +2x-2)+(x^{2} +2x-9)=4$

By solving in above equation, we get

$(x^{2} +x+3)+(x^{2} +2x-2)+(x^{2} +2x-9)=4\\\\\\\2x^{2}+5x-8=4\\\\2x^{2}+5x-12=0\\\\2(x + 4)(x - 1.5)=0\\\\ x=-4\\\\ x=1.5$

So, we take x= 1.5 and neglect -4 because we can't take negative roots of the quadratic equation.

Hence, the value of x is equal to 1.5.

Learn more about quadratic equation here:

brainly.com/question/17177510

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