Question

solve the following using factorization method​

Answer 1

Step-by-step explanation:

5x

2

=22x+15

5x

2

−22x−15=0

We need to split the coefficient of x in two numbers whose product is (-15)×(5)=-75 and whose sum is -22.

Upon thinking, we find that such numbers are -25 and 3.

\begin{gathered}5 {x }^{2} - 25x + 3x - 15 = 0 \\ 5x(x - 5) + 3(x - 5) = 0 \\ (x - 5)(5x + 3) = 0\end{gathered}

5x

2

−25x+3x−15=0

5x(x−5)+3(x−5)=0

(x−5)(5x+3)=0

Now for this product to be zero, either one or both of these have to be zero. Thus, we get

x = 5x=5

or ( and )

x = \frac{ - 5}{3}x=

3

−5

Answer 2

Step-by-step explanation:

5m^2-2m-15=0

(5m^2+3m)+(-5m-15)=0

5m (m+3)-5 (m+3)=0

(m+3)(5m-5)=0

m=-3 5m=5

m=5/5=1

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