Question

12 x ² + 7x-10=0 find the value of x​

Answer 1

Answer:

............................................

Step-by-step explanation:

Answer 2

Answer:

x=2/3,-(5/4)

Step-by-step explanation:

•The first term is, 12x^2 its coefficient is 12 .

•The middle term is, 7x its coefficient is 7 .

•The last term, "the constant", is -10

STEP-1 : Multiply the coefficient of the first term by the constant 12 • -10 = -120

STEP-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is 7 .

-120 + 1 = -119

-60 + 2 = -58

-40 + 3 = -37

-30 + 4 = -26

-24 + 5 = -19

-20 + 6 = -14

-15 + 8 = -7

-12 + 10 = -2

-10 + 12 = 2

-8 + 15 = 7 That's it

STEP-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 15

12x^2 - 8x + 15x - 10

STEP-4 : Add up the first 2 terms, pulling out like factors :

4x • (3x-2)

Add up the last 2 terms, pulling out common factors :

5 • (3x-2)

4x(3x-2) + 5(3x-2)=0

STEP-5 : Add up the four terms of step 4 :

(4x+5) • (3x-2) =0

Which is the desired factorization

• A product of several terms equals zero.

• When a product of two or more terms equals zero, then at least one of the terms must be zero.

• We shall now solve each term = 0 separately

STEP-6:solve 4x+5

4x+5=0

4x=-5

x=-(5/4)

STEP-7:Solve 3x-2

3x-2=0

3x=2

x=2/3

STEP-8:

ANSWER

X=2/3,-(5/4)