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solve the equation p^2 + 10p = 1 by completing the square method. show your work.

p = -5 ± √26

Step-by-step explanation:

p² + 10p = 1

To complete the square, start by making the leading coefficient 1 (it already is).

Next, take half of the b coefficient, square it, and add the result to both sides.

(10/2)² = 5² = 25

p² + 10p + 25 = 1 + 25

p² + 10p + 25 = 26

Factor:

(p + 5)² = 26

Solve:

p + 5 = ±√26

p = -5 ± √26

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

correct

step-by-step explanation: