Math, asked by Akshad07, 10 months ago

Form the quadratic equation if its roots are 1/2,-3/4​

Answers

Answered by DarkBeats
30

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First Root = \large{\frac{1}{2}}

Which Means

➡️x=\frac{1}{2}

➡️2x=1

\therefore Factor = 2x-1

Second Root = \large{\frac{-3}{4}}

Which means

➡️x=\frac{-3}{4}

➡️4x=-3

\therefore Factor = 4x+3

Now on multiplying these Factors..

⚡(2x-1)(4x+3)⚡

➡️8x^2+6x-4x-3

➡️⭐\Large{\orange{8x^2+2x-3}}⭐

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Answered by Aloi99
53

Given:-

•α= \frac{1}{2}

•β= \frac{-3}{4}

\rule{200}{1}

To Find:-

♦The Quadratic Equation using the Given details?

\rule{200}{1}

AnsWer:-

↓Quadratic Formula↓

→k[x²-(α+β)x+αβ]

→α+β= \frac{1}{2} + \frac{-3}{4}

•Take LCM•

→α+β= \frac{1×2}{2×2} + \frac{-3}{4}

→α+β= \frac{-1}{4}

→αβ= \frac{1}{2} × \frac{-3}{4}

→αβ= \frac{-3}{8}

↑Using these Values in The Formula↑

→k[x²-( \frac{-1}{4} x)+( \frac{-3}{8} ) ]

★Let k=8★

→8[x²-( \frac{-1}{4} x)+( \frac{-3}{8} ) ]

→8x²-(-2x)+(-3)

→8x²+2x-3=quadratic Equation

\rule{200}{2}

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