Question

5. Is the equation (12x+13) * + x2 = 3x2 – 5x quadratic ? Justify.​

Answer 1

Answer:

No it is not a quadratic equation

Step-by-step explanation:

Given,

$(12x + 13) \times {x}^{2} = 3 {x}^{2} - 5x \\ 12 {x}^{3} + 13 {x}^{2} = 3 {x}^{2} - 5x \\ 12 {x}^{3} + 13 {x}^{2} - 3 {x}^{2} + 5x = 0 \\ 12 {x}^{3} + 10 {x}^{2} + 5x = 0$

We get the equation 12x³+10x²+5x=0

Comparing with ax²+by+c=0,

we have 12x³ which makes the whole equation a cubic equation, hence proved.