Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.

Seda asked Nov 27, 2022

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20 votes

Seda asked Nov 27, 2022

by Seda

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24 votes

Answer:

Answer: 4x² - 9x + 20

Explanation:

• General quadratic equation:

${ \rm{ {x}^(2) - (sum \: of \: roots)x + (product \: of \: roots) }}$

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

${ \boxed{ \rm{4 {x}^(2) - 9x + 20 }}}$

Serdalis answered Dec 3, 2022

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