The substitution that should be used to rewrite the equation is u = x+5, the correct option is A.
<h3>What is a Quadratic Equation?</h3>
The polynomials of the 2nd degree are called Quadratic Equations.
It has a general form as ax² +bx+c=0
To rewrite the expression as a quadratic equation
6(x+5)² + 5(x+5)-4 = 0
=6(x+5)(x+5)+5(x+5)-4
=6(x² + 5x + 5x + 25)+5(x+5)-4
=6(x²+10x+25) + 5(x+5) - 4 = 0
=6x² + 60x + 5x + 150 + 25 - 4 = 0
=6x² + 65x + 171 = 0
This is the quadratic equation of the form ax² +bx+c=0
but if directly it has to be written in this ax² +bx+c=0 form , it can be written by substituting u = (x + 5)
6(x+5)² + 5(x+5)-4 = 0
6u²+5u-4 = 0
Therefore, the substitution that should be used to rewrite the equation is u = x+5, the correct option is A.
To know more about Quadratic equations
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