Question

I'M NOT UNDERSTANDWhat is/are the x-intercept(s) of the following quadratic: 2x^2 + 3x - 1 = 0 Claim: This is a statement you believe to be true. What is your answer? Restate the question using a complete sentence. Evidence: This is any factual information that supports your claim. How did you do the math? Explain it using words, numbers, graphs, symbols, data tables, or drawings. Reasoning: This is how and why your evidence supports your claim. Why did you do the math this way? Explain your strategy. Explain your steps.

Answer 1

We have the following:

`2x^2+3x-1=0`

Claim:

The x-intercepts for the quadratic equation are the solutions of the equation.

Evidence:

`\begin{gathered} (2)/(2)x^2+(3)/(2)x-(1)/(2)=0 \\ x^2+(3)/(2)x+((3)/(4))^2=(1)/(2)+((3)/(4))^2 \\ (x+(3)/(4))^2=(17)/(16) \\ x+(3)/(4)=\pm\sqrt[]{(17)/(16)} \\ x=\pm\sqrt[]{(17)/(16)}-(3)/(4) \end{gathered}`

Reasoning:

It was solved by obtaining a binomial squared

Which means that the intercepts are:

`\begin{gathered} (\sqrt[]{(17)/(16)}-(3)/(4),0)\rightarrow(0.28,0) \\ (-\sqrt[]{(17)/(16)}-(3)/(4),0)\rightarrow(-1.78,0) \end{gathered}`