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This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

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Andregradslikningen $ax^2+bx+c=0$ har løsningene 

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\\[x=\\frac{-b\\pm\\sqrt{b^2-4ac}}{2a},\\space \\text{når}\\space  b^2-4ac\\geq0\\text{.}\\]

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Dersom andregradsuttrykket $ax^2+bx+c$ har nullpunktene $x=x_{1}$ og $x=x_{2}$ kan det faktoriseres til  $a(x-x_{1})(x-x_{2}).$

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Løs andregradslikningen $\\simplify{x^2 +{r1+r2}x+{r1*r2}}=0\\text{.}$

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Skriv svaret nedenfor som $x_1$ og $x_2$, da $x_1<x_2$

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$x_1=$ [[0]] (NB:  $x_1<x_2$)

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$x_2=$ [[1]]

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Faktoriser andregradsuttrykket $\\simplify{x^2 +{r1+r2}x+{r1*r2}}\\text{.}$

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$\\simplify{x^2 +{r1+r2}x+{r1*r2}}$=[[0]] 

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Løs ulikheten $\\simplify{x^2 +{r1+r2}x+{r1*r2}}>0\\text{.}$

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Svar: 

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$x>$ [[0]]

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[[2]]

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$x<$ [[1]]

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Og

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eller

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