Rewrite the equation by completing the square. 4 x^{2} +20x +25 =0
2 answers:
Answer:
(x+5/2)^2 = 0
Step-by-step explanation:
4 x^{2} +20x +25 =0
Divide by 4
4/4 x^{2} +20/4x +25/4 =0
x^2 +5x +25/4 =0
Subtract 25/4 from each side
x^2 +5x +25/4 -25/4 =-25/4
x^2 +5x =-25/4
Take the coefficent of x
5
Divide by 2
5/2
Square it
25/4
Add it to each side
x^2 +5x +25/4 =-25/4+25/4
(x+5/2)^2 = 0
Take the square root of each side
x+5/2 = 0
x = -5/2
Answer:
(2x + 5)² = 0
Step-by-step explanation:
4x² + 20x + 25 = 0
4x² + 10x + 10x + 25 = 0
2x(2x + 5) + 5(2x + 5) = 0
(2x + 5)(2x + 5) = 0
(2x + 5)² = 0
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