Question

Solve the equation by making an appropriate substitution. x ⁴ −34x² +225=0. Make an appropriate substitution and rewrite the equation in quadratic form. Let u=x ² , then the quadratic equation in u is _____.

a. u ² −34u+225=0
b. u² +34u−225=0
c. u² −34u−225=0
d. u² +34u+225=0

Answer 1

a. u ² −34u+225=0. To solve the equation x^4 - 34x^2 + 225 = 0 by making an appropriate substitution, we substitute u = x^2. The quadratic equation in u is u^2 - 34u + 225 = 0.

Step-by-step explanation:

To make an appropriate substitution, let's substitute u = x^2. So the equation becomes:

u^2 - 34u + 225 = 0

Now we have a quadratic equation in u. The correct quadratic equation in u is a. u^2 - 34u + 225 = 0