Answer:
Kindly check Explanation
Step-by-step explanation:
Step 1 : ax^2 + bx + c = 0
Subtract c from both sides
Step 2: ax^2 + bx + c - c= 0 - c
Step 2 : ax^2 + bx = - c
Divide through by the Coefficient of x^2
Step 3: 1/a (ax^2 + bx = - c)
Step 3: x^2 + b/a(x) = - c /a
Pick the Coefficient of term x
Step 4: b/a
Divide the Coefficient by 2 and then square the division
Step 5: (b/a ÷ 2)^2 = (b/a × 1/2)^2 = (b/2a)^2 = (b^2/4a^2)
Add result in step 5 to both sides of the equation in step 3
Step 6: x^2 + b/a(x) + (b^2/4a^2) = - c /a + (b^2/4a^2)
Simplify and factorize
Step 7: (x + b/2a)^2 = (b^2 - 4ac) / 4a^2
Take square root of both sides
Step 8: (x + b/2a) = ±√(b^2 - 4ac) / 2a
Subtract b/2a from both sides and simplify :
Step 9: x = - b ±√(b^2 - 4ac) / 2a
