Solve for x.
5x^2 + 70x + 245 = 0
Answers
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
STEP
1
:
Equation at the end of step 1
(5x2 + 70x) + 245 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
5x2 + 70x + 245 = 5 • (x2 + 14x + 49)
Trying to factor by splitting the middle term
3.2 Factoring x2 + 14x + 49
The first term is, x2 its coefficient is 1 .
The middle term is, +14x its coefficient is 14 .
The last term, "the constant", is +49
Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49
Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is 14 .
-49 + -1 = -50
-7 + -7 = -14
-1 + -49 = -50
1 + 49 = 50
7 + 7 = 14 That's it
Answer:
please translate on English to Hindi language OK