Solve by completing the square: x^2 + 10x + 13 = 0?

Answer 1

x² + 10x + 13 = 0
x² + 10x + 25 = -13 + 25

So (x + 5)² = 12

So x + 5 = ±√12
(Note first of all the number that there are TWO numbers that when squared give 12 and they are √12 and - √12 Hence the ±√12)

So x = -5 ± 2√3 (Note that √12 = √(4 * 3) = √4 *√3 = 2√3)


Luis U - Delta = (10)² - 4 * (1)* 13 ( a = 1 not 2)

= 100 - 52
= 48

So roots are ½(-10 ± √48)
ie ½(-10 ± √(16 * 3))

ie ½(-10 ± 4√3)

ie -5 ± 2√3

Answer 2

a million. be sure your lead coefficient is the same as one. even if it isn't, be sure you aspect out in spite of the lead coefficient is. x^2 + 10x + 13 = 0 examine! 2. Slap parenthesis around the x values (x^2 + 10x) + 13 = 0 examine! 3. Take the coefficient of x, halve it, then sq. it. (10/2)^2 (5)^2 25 examine! 4. Plug it in to the equation, yet be sure you subtract the same volume from the different fringe of the equation. (x^2 + 10x + 25) + 13 - 25 = 0 stop precise there! once you've a range outdoors the parenthesis, be sure you multiply the range with information from that variety, THEN subtract it. e.g. 2(x^2 + 4x + 4) + 3 - (2 x 4) not 2(x^2 + 4x + 4) + 3 - 4 examine! 5. Simplify. (x^2 + 10x + 25) + 13 - 25 = 0 (x^2 + 10x + 25) - 12 = 0 (x + 5)^2 - 12 = 0 in case you've been to graph it, you would possibly want to shift the vertex left 5 areas, down 12 areas, and then graph a parabola pointing up and conventional sized. desire that helped!

Answer 3

x^2 + 10x + 13 = 0
x^2 + 10x = -13
x^2 + 10x + 25 = -13 +25
(x+5)^2 = 12
x+5 = 12^(1/2)
x = 12^(1/2) - 5

Answer 4

1first pass the constant (in this case 13) to the other side: x^2 = 10x= -13

2 Get K or (b/2)^2 (in this case 10) so it is 25

Add k (25) to both sides: x^2 + 10x + 25 = 12
now simplify (factor): (x + 5)^2 = 12

get sq root (both sides) : x + 5 = +/- (sq root 12)

isolate x: x = -5 +/- (sq root 12)

hope it helps

Answer 5

x^2 + 10x + 13 = 0;

delta = 10*10 - 4*2*13;
delta = 100 - 104;
delta = -4;
x = (-10- 2i)/4 or x = (-10+2i)/4;


x^2 + 10x + 13 = 2(x-(-10- 2i)/4)(x-(-10+2i)/4);

Answer 6

> - 1.5359
> - 8.464

(-1.5359)^2 + (10 * -1.5359) +13 = 0
2.359 - 15.359 + 13 = 0

(-8.464)^2 + (10 * 8.464) + 13 = 0
71.64 - 84.64 + 13 = 0

Answer 7

x= -23

Answer 8

(x+5)^2=12
x=-5+sqrt(12)
or -5-sqrt(12)