2 years ago

Simplify the expression: 10q–3q+2q2+3

Mathematics

2 answers:

Free_Kalibri [48]2 years ago

7 0

This is the answer: 2q^2+7q+3

saw5 [17]2 years ago

4 0

If the 2q is raised to the second power the answer is 2q^2+7q+3

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0/1 Solve the equation by completing the square. Round your answer to the nearest hundredth, if necessary x^2+18x=7

11111nata11111 [884]

Answer:

The solution to the equation is x = 0.38 or -18.38

Step-by-step explanation:

x^2+18x=7 can be properly written as

$x^{2} +18x =7$

To solve by completing the square, divide the coefficient of x by 2, square and then add to both sides

i.e 18/2 = 9

Then add 9² to both sides of the equation

$x^{2} +18x + 9^{2} = 7 + 9^{2}$

This becomes

$(x+9)^{2} = 7 + 81$

$(x+9)^{2} = 88$

$x+9 = \pm \sqrt{88}$

$x = -9 \pm\sqrt{88}$

$x = -9 \pm 9.38$

∴ $x = -9+9.38 or -9-9.38$

$x = 0.38 or -18.38$

Hence, x = 0.38 or -18.38

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