Question

Write the quadratic equation m(m – 6) = 9 in standard form ax2

+ bx + c = 0 and write the

values of a, b and c.
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Answer 1

✿ Quadratic equation = m²-6m-9 = 0

✿ a = 1

✿ b = -6

✿ c = -9

Step-by-step explanation:

Given:

• m(m-6) = 9

Things to do:

• We need to write the quadratic equation in the form of ax²+bx+c = 0
• We need to find the values of a, b and c.

Solution: Let us multiply the given with m on LHS to form the quadratic equation in standard form.

$\implies{\rm}$ m(m-6) = 9

$\implies{\rm}$ (m×m)-(6×m) = 9

$\implies{\rm}$  m²-6m = 9

$\implies{\rm}$  m²-6m-9 = 0

The above equation is in the form of ax²+bx+c = 0. Here,

• a = 1
• b = -6
• c = -9

Note: Instead of ax²+bx+c = 0, the above equation is in the form of am²+bm+c = 0. No need to worry, this is also the general form of quadratic equation. Only variable m is changed instead of x. Change in variable do not affect the general form of quadratic equation.