Answer:
Step-by-step explanation:
10y2 - 17y + 12 = y + 16
10y2 - 17y + 12 - 16 = y
10y2 - 17y - 4 = y
10y2 -17y - y -4 = 0
10y2 -16y - 4 = 0
Now put formula
x = -b +- (square root) b2 - 4ac
2a
a = 10 b= -16 c= -4
y = -(-16) +- (square root) -16 - 4 (10) (-4)
2(10)
y = 16 +- (square root) -16 - 400
20
y = 16 +- (square root) -416
20
y = 16 +- 20.396
20
Now this +- is the plus minus thingy in which two answers come
The first we will do is +
16 + 20.396 16 - 20.396
20 20
= 1.8198 = -0.2198
Expressions can be simplified by reducing them to lower factors
The simplified expression is: [tex]\mathbf{x^8y^6\sqrt{110x} } }[/tex]
The expression is given as:
[tex]\mathbf{\sqrt{110x^{17}y^{12}}}[/tex]
Expand
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110} \times \sqrt{x^{17}} \times \sqrt{y^{12}} }[/tex]
Express square roots as exponents
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110} \times \sqrt{x^{17}} \times y^{12*1/2}} }[/tex]
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110} \times \sqrt{x^{17}} \times y^6} }[/tex]
Express 17 as 16 + 1
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110} \times \sqrt{x^{16 + 1}} \times y^6} }[/tex]
Split
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110} \times \sqrt{x^{16} \times x} \times y^6}[/tex]
Express square roots as exponents
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110} \times x^{16\times 1/2} \times \sqrt x \times y^6} }[/tex]
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110} \times x^8 \times \sqrt x \times y^6} }[/tex]
Rewrite as:
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110} \times \sqrt x \times x^8 \times y^6} }[/tex]
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110x} \times x^8 \times y^6} }[/tex]
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =\sqrt{110x} \times x^8y^6} }[/tex]
[tex]\mathbf{\sqrt{110x^{17}y^{12}} =x^8y^6\sqrt{110x} } }[/tex]
Hence, the simplified expression is: [tex]\mathbf{x^8y^6\sqrt{110x} } }[/tex]
Read more about simplifying expressions at:
https://brainly.com/question/403991
