Basiskennis chemie 4/Tweedegraads x2-a Opgaven

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1. $x^{2}\ =\ 49$ $x\ =\ \pm 7$	2. $x^{2}\ -\ 121\ =\ 0$ $x\ =\ \pm 11$	3. $2x^{2}\ =\ 50$ $x\ =\ \pm 5$	4. $0{,}5x^{2}\ =\ 50$ $x\ =\ \pm 10$
5. $5x^{2}\ =\ 48\ +\ 2x^{2}$ $x\ =\ \pm 4$ Uitwerking: $5x^{2}\ =\ 48\ +\ 2x^{2}$ $5x^{2}\ -\ 2x^{2}\ =\ 48\$ $3x^{2}\ =\ 48\$ $x^{2}\ =\ 16\$ $x\ =\ \pm 4\$	6. $x^{2}\ -\ 1=\ 2x^{2}\ -50$ $x\ =\ \pm 7$	7. $14x^{2}\ -\ 7=\ 15x^{2}\ -43$ $x\ =\ \pm 6$	8. $2x^{2}\ -\ 42=\ 39\ -\ 2x^{2}$ $x\ \pm 4{\frac {1}{2}}$ Uitwerking: $2x^{2}\ -\ 42=\ 39\ -\ 2x^{2}$ $2x^{2}\ =\ 39\ -\ 2x^{2}\ +\ 42$ $2x^{2}\ +\ 2x^{2}\ =\ 39\ +\ 42$ $4x^{2}\ =\ 81$ $x^{2}\ =\ {\frac {81}{4}}$ ${\sqrt {x^{2}}}\ =\ {\sqrt {\frac {81}{4}}}$ $x\ =\ \pm \ {\sqrt {\frac {81}{4}}}\ =\ \pm {\frac {9}{2}}\ =\ \pm 4{\frac {1}{2}}$
9. $x^{2}\ =\ a$ $x\ =\ \pm {\sqrt {a}}$	10. $2x^{2}\ =\ b$ $x\ =\ \pm {\sqrt {\frac {b}{2}}}$	11. $5x^{2}\ =\ h^{3}\ +\ 2x^{2}$ $x\ =\ \pm {\sqrt {\frac {h^{3}}{3}}}$	12. $x^{2}\ -\ m=\ 2x^{2}\ -n$ $x\ =\ \pm {\sqrt {n\ -\ m}}$

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