The solution to the equation x²+6x+9=20 is x = -2√5 - 3 or x = 2√5 -3 option option (B) and option (D) are correct.
What is a quadratic equation?
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
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The quadratic equation:
x²+6x+9=20
x²+6x -11 = 0
a = 1, b = 6, c = -11
[tex]\rm x_{1,\:2}=\dfrac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \left(-11\right)}}{2\cdot \:1}[/tex]
[tex]\rm x=-3+2\sqrt{5},\:x=-3-2\sqrt{5}[/tex]
Thus, the solution to the equation x²+6x+9=20 is x = -2√5 - 3 or x = 2√5 -3 option option (B) and option (D) are correct.
Learn more about quadratic equations here:
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