Question

Help me pls I need solution

Answer 1

The expression is simplified to 10x² + 48x + 3 =0

How to determine the value

Given the expression as;

$5^(^4^x^+^1^)^(^x^+^2^) + 4. 5^x^(^x^+^1^5^) = 5^-^2^x^2+^2^1^x^-^1$

We take the numerators have the same base, then we have;

(4x+1)(x+2) + 4(x(x+ 15) = -2x² + 21x - 1

expand the bracket

4x² + 8x + x + 2 + 4(x² + 15x) =  -2x² + 21x - 1

4x² + 8x + x + 2 + 4x² + 60x =  -2x² + 21x - 1

collect like terms

4x² + 4x² + 2x² + 8x + x + 60x - 21x = - 1 - 2

Add or subtract like terms

10x² + 48x = -3

Make into a quadratic equation

10x² + 48x + 3 =0

Thus, the expression is simplified to 10x² + 48x + 3 =0

Learn more about algebraic expressions here:

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