Question

form a Quadratic Equation whose roots are -4 and -6,​

Answer 1

SOLUTION:-

Given

Roots are -4 and -6

Need to find

Quadratic equation ?

Explanation

$let \: \alpha = - 4 \\ \\ \beta = - 6$

Formula for Quadratic equation

$x {}^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

Put values

X²-(-4+(-6))x+(-4)×(-6)=0

x²-(-10)x+24=0

x²+10x+24=0

So , Quadratic equation is x²+10x+24

Add for your Knowledge ⤵️

▪︎ Formula for find Quadratic equation =

$x {}^{2} - ( \alpha + \beta )x + \alpha \beta$

▪︎ Sum of zeros = -b/a

▪︎ Product of zeros = c/a

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