Question

sole the following quadratic equations by factorisation method X2+10X+24=0​

Answer 1

Step-by-step explanation:

this is the answer of equation

Answer 2

Answer

• Zeros of the quadratic equation = -6 and -4.

To Do

• To solve the quadratic equation x² + 10x + 24 = 0 by factorisation method.

Step By Step Explanation

Let's factorise x² + 10x + 24 = 0 to find the zeros.

$\longmapsto \sf {x}^{2} + 10x + 24$

We need to find two numbers whose sum = 10 and their product = 24.

So, the two numbers are 6 and 4.

$\longmapsto \sf {x}^{2} + 6x + 4x + 24 = 0$

We can take x common from x² and 6x. And 4 common from 4x and 24.

$\longmapsto\sf{x(x + 6) + 4(x + 6)}\\\\\longmapsto\sf(x + 6)(x + 4) = 0$

Now, zeros will be ⤵

$\longmapsto\sf{x + 6 = 0}\implies \: \bold{\green{ x = - 6}} \\ \\ \longmapsto \sf{x + 4 = 0} \implies \: \bold{ \pink{ x = - 4}}$

Therefore, zeros of the quadratic equation = -6 and -4.

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More to Know

• Quadratic Equation It is an equation of the form ax² + bx + c = 0 , where a, b, c are real numbers and a ≠ 0.

• There are three methods to solve a quadratic equation. They are as follows -

1. By factorisation method.
2. By completing the square.
3. By using quadratic formula / Shridharacharya's rule.

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