-2x2 + 9x - 12 = 0
Then apply the quadratic formula.
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A quadratic function is ax2+bx+c You can solve for x by using the quadratic formula, which, as the formula requires the use of square roots, would be tricky to put here.
By using the quadratic equation formula: x = -5 and x = 3
The best plan for that particular equation would be to first subtract 15 from each side, and then apply the quadratic formula.
You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.
It is linear in y, quadratic in x. Generally, that would be considered a quadratic.