The equation m^(2/3) + 10m^(1/3) + 9 = 0 is said to be in __________form, because making the substitution u = __________results in a new equation that is quadratic.

Kyran Hudson 2020-10-23 Answered
The equation m23+10m13+9=0 is said to be in __________form, because making the substitution u = __________results in a new equation that is quadratic.
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Expert Answer

Luvottoq
Answered 2020-10-24 Author has 95 answers
In mathematical expressions/equations, power to which a variable has been raised is called an exponent or index.
Any indicial equation which can be converted to a quadratic equation using proper substitution can be said to be in “quadratic-form”.
Equation given can be rearranged as:
m23+10m13+9=0
(m13)2+10(m13)+9=0
If we make the substitution:
u=m13
The given equation can be transformed into quadratic equation in variable u as shown:
(m13)2+10(m13)+9=0
u2+10u+9=0
Answer:
The equation m23+10m13+9=0 is said to be in quadratic form, because making the substitution u=m13 results in a new equation that is quadratic.
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