Nickahcabiaoidn
Answered

Suriin ang malawak na saklaw ng mga paksa sa IDNStudy.com. Ang aming komunidad ay handang magbigay ng malalim at praktikal na mga solusyon sa lahat ng iyong mga katanungan.

Twice the square of a number is 16 less than 10 times the number. Find the number

Sagot :

Alvedeguzidn
Let me try to solve it.

So twice the square of a number:

2x²

and

16 less than 10 times the number

16 - 10x

Let's combine both

2x² = 16 - 10x

Move right expression to the left and change sign

2x² +10x -16 = 0

We may now use quadratic formula for this.

x = (-b±√b²-4ac)/2a

where a = 2, b = 10 and c = -16

Replace a, b and c

x = (-10±√10² - 4(2 * -16))/2(2)

Multiply 2 and -16, 2 and 2, and get the square of 10

x = (-10±√100 - 4(-32))/4

Multiply -4 and -32

x = (-10±√100 + 128)/4

Add 100 and 128

x = (-10±√228)/4

Get square root of 228

x = (-10±15.0996688705415)/4

Break up expression

x = (-10 + 15.0996688705415)/4

Add

x = 5.0996688705415/4

Divide

x = 1.274917217635375

---

x = (-10 - 15.0996688705415)/4

Subtract

x = -25.0996688705415/4

Divide

x = -6.274917217635375

Now to check:

We are going to use the positive result except of the negative.

2(1.274917217635375)² = 16 - 10(1.274917217635375)

2(1.625413911823126143) = 16 - 12.74917217635375

3.250827823646252286 = 3.25082782364625

Almost the same as you can see except of the 2286 in the last from the left side.

I hope it helps.
Pinahahalagahan namin ang bawat tanong at sagot na iyong ibinabahagi. Huwag kalimutang bumalik at magtanong ng mga bagong bagay. Ang iyong kaalaman ay mahalaga sa ating komunidad. IDNStudy.com ang iyong mapagkakatiwalaang kasama para sa lahat ng iyong mga katanungan. Bisitahin kami palagi.