If the graph of a quadratic polynomial $ax^2+bx+c$ does not touch or cut the X-axis (as shown above), which of the following statements is correct?
$9x^2+7x-2=0$
If the curve $y = c_1e^{m_1x} + c_2e^{m3x}$, where $c_1, c_2, c_3$ are arbitrary constants and $m_1, m_2, m_3$ are roots of $m^3 - 7m + 6 = 0$
If $x = \dfrac{{\sqrt {2a + 1} + \sqrt {2a - 1} }}{{\sqrt {2a + 1} - \sqrt {2a - 1} }}$, then show that ${x^2} - 4ax + 1 = 0$
Compare the given quadratic equations to the general form and write values of $a, b, c$.
$2m^{2} = 5m - 5$