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3 years ago

Find the discriminant 9x^2+14x+13=8x^2

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

Answer:

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4(1)(13)

= 196 - 52

= 144

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kicyunya [14]

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2 years ago

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leva [86]

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Step-by-step explanation:

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2 years ago

What number must be added to the expression below to complete the square? x2-5x

kati45 [8]

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3 years ago

Find the value of c that makes the expression a perfect square trinomial x^2+22x+c with work

Yuliya22 [10]

$\boxed{c=11}$

<h2>Explanation:</h2>

Here we have the following expression:

$x^2+22x+c$

A Perfect Square Trinomial is given by the form:

$(x+a)^2=x^2+2ax+a^2$

So matching terms, we can conclude that:

$2a=22 \\ \\ a=11 \\ \\ c=a^2=121$

So, substituting c into the expression:

$x^2+22x+121$

It is a perfect square because:

$x^2+22x+121=(x+11)^2$

<h2>Learn more:</h2>

Quadratic Equation in real life problems: brainly.com/question/10278062

#LearnWithBrainly

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3 years ago

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