Answer:
x=13, x=-4
Step-by-step explanation:
brainly please :))
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-9x-52
The first term is, x2 its coefficient is 1 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is -52
Step-1 : Multiply the coefficient of the first term by the constant 1 • -52 = -52
Step-2 : Find two factors of -52 whose sum equals the coefficient of the middle term, which is -9 .
-52 + 1 = -51
-26 + 2 = -24
-13 + 4 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -13 and 4
x2 - 13x + 4x - 52
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-13)
Add up the last 2 terms, pulling out common factors :
4 • (x-13)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-13)
Which is the desired factorization
(x + 4) • (x - 13) = 0
Answer:
-4, 13
Step-by-step explanation:
x²-9x-52=0
Delta=(-9)²-4×1×(-52)=81+208=289=17²
x1=(-(-9)+sqrt(delta))/2=(9+17)/2=26/2=13
x2=(-(-9)-sqrt(delta))/2=(9-17)/2=-8/2=-4
So:
x²-8x-52=(x-13)(x+4)=0
Solutions: x=13 and -4
