Problem 5: Quadratic equationsThis section is based on chapter 2.3. \text { (a) Use factorisation to solve for } a: a^{2}+9 a+14=0 \text {. } \text { (b) Use factorisation to solve for } x \text { given } x \in \mathbb{N} \text { : } 3 x^{2}-10 x-8=0 \text {. } \text { (d) Write this in the form } a x^{2}+b x+c=0 \text { and solve for } \mathrm{x} \text { to one significant digit: } \frac{2 x-7}{5 x+2}=2-3 x \text { (e) For what values of } b \text { does } 16 x^{2}+b x+4=0 \text { have only one solution? } \text { (c) Use the quadratic formula to solve for y to three decimal places: } 7 y^{2}-9 y-1=0 \text {. }