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Kobotan [32]
3 years ago
12

WILL AWARD BRAINLIEST!!! POLYNOMIALS

Mathematics
1 answer:
svp [43]3 years ago
5 0

\huge\fcolorbox{blue}{aqua}{Answer:}

════════════════════

1.

kx^{2} + kx +  \frac{25}{4}

All you need to do is factor out \frac{1}{4}

=\frac{4kx^{2 +} + 4kx + 25 } {4}

if you evaluate it it will become

kx^{2} + kx +  \frac{25}{4}

────────────────────

2.

\frac{3y² + 1}{4} -  \frac{y}{2} = 6

3y² + 1 - 2y = 24

3y² - 23 - 2y = 0

3y² - 2y - 23 = 0

y=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\times 3\left(-23\right)}}{2\times 3}

y=\frac{-\left(-2\right)±\sqrt{4-4\times 3\left(-23\right)}}{2\times 3}

y=\frac{-\left(-2\right)±\sqrt{4-12\left(-23\right)}}{2\times 3}

y=\frac{-\left(-2\right)±\sqrt{4+276}}{2\times 3}

y=\frac{-\left(-2\right)±\sqrt{280}}{2\times 3}

y=\frac{-\left(-2\right)±2\sqrt{70}}{2\times 3}

y=\frac{2±2\sqrt{70}}{6}

y=\frac{2\sqrt{70}+2}{6}

y=\frac{\sqrt{70}+1}{3}

y=\frac{2-2\sqrt{70}}{6}

y=\frac{1-\sqrt{70}}{3}

y=\frac{\sqrt{70}+1}{3}

So the answer is

y=\frac{\sqrt{70}+1}{3}

════════════════════

Explanation:

#Carry on learning

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