Question

Find the roots of the given equation 4x2 + 4bx – (a2 – b2) = 0

Answer 1

Answer:a= √b2+4bx+4x2 or a=−√b2+4bx+4x2

Let's solve for a.

4x2+4bx−(a2−b2)=0

Step 1: Add -b^2 to both sides.

−a2+b2+4bx+4x2+−b2=0+−b2

−a2+4bx+4x2=−b2

Step 2: Add -4bx to both sides.

−a2+4bx+4x2+−4bx=−b2+−4bx

−a2+4x2=−b2−4bx

Step 3: Add -4x^2 to both sides.

−a2+4x2+−4x2=−b2−4bx+−4x2

−a2=−b2−4bx−4x2

Step 4: Divide both sides by -1.

−a2

−1

=

−b2−4bx−4x2

−1

a2=b2+4bx+4x2

Step 5: Take square root.

a=√b2+4bx+4x2 or a=−√b2+4bx+4x2