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Subjects>Math>Algebra

How do you solve x2 - 4x 1 0 by completing the square?

Anonymous

∙ 15y ago

Updated: 4/28/2022

x2 + 4x + 1 = 0 add and subtract 3 to both sides to complete the square

x2 + 4x + 4 = 3 form the square

(x + 2)2 = 3 take the square root of both sides

x + 2 = ± √3 subtract 2 to both sides

x = -2 ± √3

Wiki User

∙ 11y ago

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More answers

we alweeys add (1/2 cofftiant of x )2 (1/2*4)2 =4

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∙ 15y ago

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Continue Learning about Algebra

Solve 3x2-12x equals 15 using the method of completing the square?

Divide all terms by 3 so:- x2-4x = 5 Completing the square:- (x-2)2 = 9 x-2 = -/+3 x = -1 or x = 5

Solve by completing the square x2 14x -24?

the problem is not proper to slove. I just want to suggest to follow the related link that explains the concept of completing the square clearly.

Can you solve by completing the square x2 plus 10x plus 220?

No because the discriminant of the given quadratic expression is less than zero.

What is 4x-x2?

4x-x2 = 2

X2 plus 20x equals 30 solve by completing the square?

x2 + 20x +0 =30 [(20/2)2 =100] x2 + 20x + 100 =30 +100 √(x+10)2=√130 x+10=√130 x= −10+√130 √ means square root

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Related Questions

Solve x2 - 4x - 9 equals 0 by completing the square?

x2 - 4x - 9 = 0 &there4; x2 - 4x = 9 &there4; x2 - 4x + 4 = 13 &there4; (x - 2)2 = 13 &there4; x - 2 = ±√13 &there4; x = 2 ± √13

Solve 3x2-12x equals 15 using the method of completing the square?

Divide all terms by 3 so:- x2-4x = 5 Completing the square:- (x-2)2 = 9 x-2 = -/+3 x = -1 or x = 5

X2 plus 11x plus 11 equals 7x plus 9?

X2+11x+11 = 7x+9 X2+11x-7x+11-9 = 0 x2+4x+2 = 0 Solve as a quadratic equation by using the quadratic equation formula or by completing the square: x = -2 + or - the square root of 2

Solve by completing the square x2 14x -24?

the problem is not proper to slove. I just want to suggest to follow the related link that explains the concept of completing the square clearly.

Is there a math problem that cannot be solved by completing the square?

If you aren't dealing with algebra, such as x2+3x+21, then completing the square wont be able to solve the porblem, however if you are using algebra, and you cannot factorise, then completing the square will always work

How do you solve the equation Factorise x3 4x?

X(X2 - X)

Can you complete the square factor and use the quadratic formula to solve these two equations x2-4x-21 equals 0 and x2-3x-18 equals 0?

x2-4x-21 = 0 => x = -3 or x = 7 x2-3x-18 = 0 => x = -3 or x = 6

Factor x2 plus 4x plus 6?

x2 + 4x + 6 can not be factored. If you want, you can reduce it to an expression with a single x term by comleting the square: x2 + 4x + 6 = x2 + 4x + 4 + 2 = (x + 2)2 + 2

How do you set up for the area of a square is 5 ft more than the perimeter find the length of a side?

X2= 4x + 5 solve for X

Can you solve by completing the square x2 plus 10x plus 220?

No because the discriminant of the given quadratic expression is less than zero.

How do you solve x2 plus 4x equals 1?

x2 + 4x = 1 x2 + 4x - 1 = 0 in the quadratic formula (b2+- Sqr(4ac))/2a, a = 1 b = 4 c = -1 so x = 8 +- i

How do you solve x squared plus 4x -3 equals 0 in surd form?

x2 + 4x - 3 = 0 add 3 to both sides x2 + 4x = 3 add 22 to both sides to complete the square x2 + 4x + 22 = 7 form the square (x + 2)2 = 7 take the square root of both sides x + 2 = ± √7 subtract 2 to both sides x = -2 ± √7 x = -2 + √7 or x = -2 - √7

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