Answer :
Step-by-step explanation:
[tex]4 {x}^{2} - 5 = 75 \\ 4 {x}^{2} = 75 + 5 \\ 4 {x}^{2} = 80 \\ {x}^{2} = \frac{80}{4} \\ {x}^{2} = 20 \\ x = \pm \sqrt{20} \\ x = \pm 2 \sqrt{5} [/tex]
The value of the equation for the given quadratic equation is x=±2√5.
What exactly is a quadratic equation?
It is a polynomial with a value of zero. There exist variable power polynomials with terms of 2, 1, and 0.
The given quadratic equation;
[tex]\rm 4x^2-5=75[/tex]
The equation is solved as;
[tex]\rm 4 x^2-5=75 \\\\ 4x^2=75+5 \\\\ 4x^2=80\\\\x^2=20\\\\ x=\pm 2 \sqrt5[/tex]
Hence, the value of the equation for the given quadratic equation is x=±2√5.
To learn more about the quadratic equation, refer:
https://brainly.com/question/2263981
#SPJ2