Respuesta :
The value of x is -9 or 3
How to factorise the equation x²+6 x-27 ?
Having the form ax2 + bx + c = 0, quadratic equations are second-degree algebraic expressions. From the term "quad," which meaning square,the word "quadratic." means comes.
A quadratic equation is a "equation of degree 2," to put it another way. An algebraic equation of the second degree in x is a quadratic equation. Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a is not equal to 0 is a quadratic equation.
Steps to factorise the equation:
Step 1: Convert the equation to standard form with a zero on one side.
Step 2: Finding the factors of variable for the non-zero side
Step 3: Reset each component to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).
Step 4: Solve each of the ensuring equations.
given that the quadratic equation is
[tex]x²+6 x-27 = 0 \\ {x}^{2} + 9x - 3x - 27 = 0 \\ x(x + 9) - 3(x + 9) = \\ (x + 9)(x - 3) = 0 \\ x + 9 = 0 \: \: , \: \: \: x - 3 = 0 \\ x = - 9 \: \: , \: \: x = 3[/tex]
x = -9 or 3.
Hence,the value of x is -9 or 3.
Learn more about quadratic equations from here:
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