Question

Write 2x2 – 16x + 14 = 0 in the form (x - p)2 = q by completing the square.

Answer 1

completing the square we get: $(x-4)^2=23$

Step-by-step explanation:

We need to write $2x^2-16x+14=0$ in the form (x-p)^2 =q by completing the square.

For completing the square, the formula used is: $(a+b)^2=a^2+2ab+b^2$

$2x^2-16x+14=0$

Taking 2 common:

$2(x^2-8x+7)=0$

Divide both sides by 2

$x^2-8x+7=0$

Now making complete square:

We know a but we need to find b for completing the square formula.

Since the middle term of formula is 8x which is obtained by 2(a)(b) where 2(x)(4) so, b=4 and b^2=(4)^2

So, if we add and subtract (4)^2 then we can make it complete square

$(x)^2-2(x)(4)+(4)^2-7-(4)^2$

$(x-4)^2-7-16=0\\(x-4)^2-23=0\\(x-4)^2=23$

So, completing the square we get: $(x-4)^2=23$

Keywords: Completing the square

Learn more about completing the square at:

• brainly.com/question/2568692
• brainly.com/question/1332667
• brainly.com/question/1357167

#learnwithBrainly

Answer 2

Answer:

(x − 4)2 = 9

Step-by-step explanation:

This is for USA test prep !