Question

Select all of the following that are quadratic equations.
5x-1=3x+8
5 x- 3 = 0
x²-2x = 4x+1
2x²+12 x = 0
x³-6x² + 8 = 0
9x²+6x-3=0

Answer 1

The quadratic equations among all the options given are $x^{2} -2x=4x+1$,$2x^{2} +12x=0$ and $9x^{2} +6x-3=0$.

Given six equations as under:

• 5x-1=3x+8

• 5 x- 3 = 0
• x²-2x = 4x+1
• 2x²+12 x = 0
• x³-6x² + 8 = 0
• 9x²+6x-3=0

We are required to find the quadratic equations among the above equations.

Quadratic equations are those equations in which the highest power of the variable present in the equation is 2.

It is in form of $ax^{2} +bx+c=0$.

In our options quadratic equations are $x^{2} -2x=4x+1$,$2x^{2} +12x=0$ and $9x^{2} +6x-3=0$.

5x-1=3x+8: It is not a quadratic equation as the highest power is 1.

5 x- 3 = 0:It is also a linear equation not quadratic equation.

x³-6x² + 8 = 0:It is a cubic equation not a quadratic equation.

Hence the quadratic equations among all the options given are $x^{2} -2x=4x+1$,$2x^{2} +12x=0$ and $9x^{2} +6x-3=0$.

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