Find the roots of the given equation 4×2 + 4bx – (a2 – b2) = 0

1 thought on “Find the roots of the given equation 4×2 + 4bx – (a2 – b2) = 0”

1. Answer:a= √b2+4bx+4×2 or a=−√b2+4bx+4×2

   Let’s solve for a.

   4×2+4bx−(a2−b2)=0

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

   −a2+b2+4bx+4×2+−b2=0+−b2

   −a2+4bx+4×2=−b2

   Step 2: Add -4bx to both sides.

   −a2+4bx+4×2+−4bx=−b2+−4bx

   −a2+4×2=−b2−4bx

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

   −a2+4×2+−4×2=−b2−4bx+−4×2

   −a2=−b2−4bx−4×2

   Step 4: Divide both sides by -1.

   −a2

   −1

   =

   −b2−4bx−4×2

   −1

   a2=b2+4bx+4×2

   Step 5: Take square root.

   a=√b2+4bx+4×2 or a=−√b2+4bx+4×2

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