Help me solve this quadratic equation by factoring please

Question

Help me solve this quadratic equation by factoring please:

x^2 + 15x + 50 = 0

for

x= ?

x= ?

Thanks :)

Answer 1

f(x) = x²+15x+50 = 0 (ax²+bx+c)

Factors of 50 are ±(1,2,5,10,25)

f(-5) = 25 - 75 + 50 = 0

f(-10) = 100 - 150 + 50 =0

So -5 and -10 are zeroes

(x+5)(x+10) --> x = -5, -10

Another way to factor ax²+bx+c is to pick which of the factors of c add up to ±b and multiply together to become c.

Answer 2

Louis,

set up your FOIL, first, out-ers, inners, and last

( x + 5 )(x + 10 )

the two numbers 5 and 10 when you multiple them, they equal 50. when you add them they equal 15

now set each of the equations in the parentheses to 0 and solve them.

let me know if any questions

Julie

Answer 3

Check first to see if you can get a complete square. Look at the factors of 50 and see if you can get them to add up to 15.

50 = 2•25 = 5•10

2•25 = 50 but 2+25 = 27, so we can't use 2 and 25.

5•10 = 50 and 5+10 = 15 so we can use 5 and 10

x² + 15x + 50 = 0

(x + 5)(x + 10) = 0